With only one minidump uploaded it's hard to tell what's wrong, but I'll start you in the right direction.
GVTDrv64.sys Tue Sep 05 03:10:02 2006 (44FD22CA)
Remove Gigabyte EasyTune6 driver (known issues w/Windows 7
AODDriver.sys Thu Mar 04 05:58:24 2010 (4B8F9250)
Remove AMD Overdrive. I have seen it cause issues in the past
AppleCharger.sys Mon Apr 26 23:54:05 2010 (4BD65FDD)
Remove Gigabyte on/off charger. I have also seen this cause problems before.
fffff880`01010000 fffff880`01144000 sptd.sys
Run the SPTD removal tool to get it off your system - DuplexSecure
Rt64win7.sys Mon Mar 22 05:57:14 2010 (4BA73EFA)
Update your Realtek drivers - Realtek
Run a system file check - SFC /SCANNOW Command - System File Checker
Update to SP1 - Learn how to install Windows 7 Service Pack 1 (SP1)
Please run these tests and report back the results
1. Memtest86 - Run for 7-8 passes - RAM - Test with Memtest86+
2. Prime95 - Run all three tests for 3-4 hours each or until fail - http://www.sevenforums.com/tutorials...t-prime95.html
3. Hard drive scan usings SeaTools - SeaTools for Windows | Seagate
- Both long and short tests BSOD BUGCHECK SUMMARY
Built by: 7600.16792.amd64fre.win7_gdr.110408-1633
Debug session time: Sat Jun 4 00:01:39.687 2011 (UTC - 4:00)
System Uptime: 0 days 1:37:48.998
Probably caused by : win32k.sys ( win32k!xxxInternalDoPaint+19 )
EXCEPTION_CODE: (NTSTATUS) 0xc0000005 - The instruction at 0x%08lx referenced memory at 0x%08lx. The memory could not be %s.
BiosReleaseDate = 01/07/2011
SystemManufacturer = Gigabyte Technology Co., Ltd.
SystemProductName = GA-870A-UD3