<?xml version="1.0" encoding="us-ascii"?><InstanceReport xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><Version>2.4.0.8</Version><ReportLongName>009 - Disclosure - Property and Equipment</ReportLongName><DisplayLabelColumn>true</DisplayLabelColumn><ShowElementNames>false</ShowElementNames><RoundingOption /><HasEmbeddedReports>false</HasEmbeddedReports><Columns><Column FlagID="0"><Id>1</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><CurrencyCode /><FootnoteIndexer /><hasSegments>false</hasSegments><hasScenarios>false</hasScenarios><MCU><KeyName /><CurrencySymbol /><contextRef><ContextID>Context_9ME__30-Jun-2013</ContextID><EntitySchema>http://www.sec.gov/CIK</EntitySchema><EntityValue>0001468679</EntityValue><PeriodDisplayName /><PeriodType>duration</PeriodType><PeriodStartDate>2012-10-01T00:00:00</PeriodStartDate><PeriodEndDate>2013-06-30T00:00:00</PeriodEndDate><Segments /><Scenarios /></contextRef><UPS /><CurrencyCode /><OriginalCurrencyCode /></MCU><CurrencySymbol /><Labels><Label Key="CalendarSupplement" Id="0" Label="9 Months Ended" /><Label Key="Calendar" Id="1" Label="Jun. 30, 2013" /></Labels></Column></Columns><Rows><Row FlagID="0"><Id>1</Id><IsAbstractGroupTitle>true</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><Level>1</Level><ElementName>us-gaap_PropertyPlantAndEquipmentAbstract</ElementName><ElementPrefix>us-gaap_</ElementPrefix><IsBaseElement>true</IsBaseElement><BalanceType>na</BalanceType><PeriodType>duration</PeriodType><IsReportTitle>false</IsReportTitle><IsSegmentTitle>false</IsSegmentTitle><IsCalendarTitle>false</IsCalendarTitle><IsEquityPrevioslyReportedAsRow>false</IsEquityPrevioslyReportedAsRow><IsEquityAdjustmentRow>false</IsEquityAdjustmentRow><IsBeginningBalance>false</IsBeginningBalance><IsEndingBalance>false</IsEndingBalance><IsReverseSign>false</IsReverseSign><FootnoteIndexer /><Cells><Cell FlagID="0" ContextID="" UnitID=""><Id>1</Id><IsNumeric>false</IsNumeric><IsRatio>false</IsRatio><DisplayZeroAsNone>false</DisplayZeroAsNone><NumericAmount>0</NumericAmount><RoundedNumericAmount>0</RoundedNumericAmount><NonNumbericText /><FootnoteIndexer /><CurrencyCode /><CurrencySymbol /><IsIndependantCurrency>false</IsIndependantCurrency><ShowCurrencySymbol>false</ShowCurrencySymbol><DisplayDateInUSFormat>false</DisplayDateInUSFormat></Cell></Cells><ElementDataType>xbrli:stringItemType</ElementDataType><SimpleDataType>string</SimpleDataType><IsTotalLabel>false</IsTotalLabel><UnitID>0</UnitID><Label>Property, Plant and Equipment [Abstract]</Label></Row><Row FlagID="0"><Id>2</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><Level>2</Level><ElementName>us-gaap_PropertyPlantAndEquipmentDisclosureTextBlock</ElementName><ElementPrefix>us-gaap_</ElementPrefix><IsBaseElement>true</IsBaseElement><BalanceType>na</BalanceType><PeriodType>duration</PeriodType><IsReportTitle>false</IsReportTitle><IsSegmentTitle>false</IsSegmentTitle><IsCalendarTitle>false</IsCalendarTitle><IsEquityPrevioslyReportedAsRow>false</IsEquityPrevioslyReportedAsRow><IsEquityAdjustmentRow>false</IsEquityAdjustmentRow><IsBeginningBalance>false</IsBeginningBalance><IsEndingBalance>false</IsEndingBalance><IsReverseSign>false</IsReverseSign><PreferredLabelRole>terseLabel</PreferredLabelRole><FootnoteIndexer /><Cells><Cell FlagID="0" ContextID="Context_9ME__30-Jun-2013" UnitID=""><Id>1</Id><IsNumeric>false</IsNumeric><IsRatio>false</IsRatio><DisplayZeroAsNone>false</DisplayZeroAsNone><NumericAmount>0</NumericAmount><RoundedNumericAmount>0</RoundedNumericAmount><NonNumbericText>&lt;p style="text-align: justify; margin: 0px; font: 10pt times new roman, times, serif;"&gt;&lt;font style="font-size: 10pt;"&gt;&lt;b&gt;NOTE 3. Property and Equipment&lt;/b&gt;&lt;/font&gt;&lt;/p&gt;
&lt;p style="text-align: justify; margin: 0px; font: 10pt times new roman, times, serif;"&gt;&amp;#160;&lt;/p&gt;
&lt;p style="text-align: justify; margin: 0px; font: 10pt times new roman, times, serif;"&gt;&lt;font style="font-size: 10pt;"&gt;Property and Equipment is comprised of the following:&lt;/font&gt;&lt;/p&gt;
&lt;p style="text-align: justify; margin: 0px; font: 10pt times new roman, times, serif;"&gt;&lt;font style="font-size: 10pt;"&gt;&amp;#160;&lt;/font&gt;&lt;/p&gt;
&lt;table align="center" style="width: 70%; border-collapse: collapse; font: 10pt times new roman, times, serif;" cellspacing="0" cellpadding="0"&gt;
&lt;tr style="vertical-align: bottom;"&gt;
&lt;td style="text-align: center; padding-bottom: 1pt; text-indent: -8.65pt; padding-left: 8.65pt;" nowrap="nowrap"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="padding-bottom: 1pt; font-weight: bold;" nowrap="nowrap"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid; text-align: center; font-weight: bold;" colspan="2" nowrap="nowrap"&gt;June 30, 2013&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid; font-weight: bold;" nowrap="nowrap"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid; font-weight: bold;" nowrap="nowrap"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid; text-align: center; font-weight: bold;" colspan="2" nowrap="nowrap"&gt;June 30, 2012&lt;/td&gt;
&lt;td style="padding-bottom: 1pt; font-weight: bold;" nowrap="nowrap"&gt;&amp;#160;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr style="background-color: #cceecc; vertical-align: bottom;"&gt;
&lt;td style="text-align: left; text-indent: -8.65pt; padding-left: 8.65pt; width: 44%;"&gt;Office Furniture and Equipment&lt;/td&gt;
&lt;td style="width: 3%; color: black;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: left; width: 1%; color: black;"&gt;$&lt;/td&gt;
&lt;td style="text-align: right; width: 8%; color: black;"&gt;24,986&lt;/td&gt;
&lt;td style="text-align: left; width: 1%; color: black;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="width: 3%; color: black;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: left; width: 1%; color: black;"&gt;$&lt;/td&gt;
&lt;td style="text-align: right; width: 8%; color: black;"&gt;23,987&lt;/td&gt;
&lt;td style="text-align: left; width: 1%; color: black;"&gt;&amp;#160;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr style="background-color: white; vertical-align: bottom;"&gt;
&lt;td style="text-align: left; text-indent: -8.65pt; padding-left: 8.65pt;"&gt;Lab Furniture and Equipment&lt;/td&gt;
&lt;td&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: right;"&gt;241,945&lt;/td&gt;
&lt;td style="text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;td&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: right;"&gt;241,945&lt;/td&gt;
&lt;td style="text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr style="background-color: #cceecc; vertical-align: bottom;"&gt;
&lt;td style="text-align: left; text-indent: -8.65pt; padding-left: 8.65pt;"&gt;Leasehold Improvements&lt;/td&gt;
&lt;td style="padding-bottom: 1pt;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid; text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid; text-align: right;"&gt;7,753&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid; text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid; text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid; text-align: right;"&gt;7,104&lt;/td&gt;
&lt;td style="text-align: left; padding-bottom: 1pt;"&gt;&amp;#160;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr style="background-color: white; vertical-align: bottom;"&gt;
&lt;td style="text-indent: -8.65pt; padding-left: 8.65pt;"&gt;&amp;#160;&lt;/td&gt;
&lt;td&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: right;"&gt;274,684&lt;/td&gt;
&lt;td style="text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;td&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: right;"&gt;273,036&lt;/td&gt;
&lt;td style="text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr style="background-color: #cceecc; vertical-align: bottom;"&gt;
&lt;td style="text-align: left; text-indent: -8.65pt; padding-left: 8.65pt;"&gt;Less: Accumulated Depreciation&lt;/td&gt;
&lt;td style="padding-bottom: 1pt;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid; text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid; text-align: right;"&gt;(106,757&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid; text-align: left;"&gt;)&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid; text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="border-bottom: black 1pt solid; text-align: right;"&gt;(68,614&lt;/td&gt;
&lt;td style="text-align: left; padding-bottom: 1pt;"&gt;)&lt;/td&gt;
&lt;/tr&gt;
&lt;tr style="vertical-align: bottom;"&gt;
&lt;td style="text-indent: -8.65pt; padding-left: 8.65pt;"&gt;&amp;#160;&lt;/td&gt;
&lt;td&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: right;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;td&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: right;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="text-align: left;"&gt;&amp;#160;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr style="background-color: white; vertical-align: bottom;"&gt;
&lt;td style="text-align: left; text-indent: -8.65pt; padding-left: 8.65pt;"&gt;Net Property and Equipment&lt;/td&gt;
&lt;td style="padding-bottom: 2.5pt; color: black;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="border-bottom: black 2.5pt double; text-align: left; color: black;"&gt;$&lt;/td&gt;
&lt;td style="border-bottom: black 2.5pt double; text-align: right; color: black;"&gt;167,927&lt;/td&gt;
&lt;td style="border-bottom: black 2.5pt double; text-align: left; color: black;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="border-bottom: black 2.5pt double; color: black;"&gt;&amp;#160;&lt;/td&gt;
&lt;td style="border-bottom: black 2.5pt double; text-align: left; color: black;"&gt;$&lt;/td&gt;
&lt;td style="border-bottom: black 2.5pt double; text-align: right; color: black;"&gt;204,422&lt;/td&gt;
&lt;td style="text-align: left; padding-bottom: 2.5pt; color: black;"&gt;&amp;#160;&lt;/td&gt;
&lt;/tr&gt;
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