Windows 8.1 doesn't recognize my graphics card
It looks like you are missing the drivers for your video adapter.
Install the motherboard drivers, mainly the chipset and display adatper and you should see the name change to something other than Microsoft Basic Display Adapter.
http://www.gigabyte.com/products/product-page.aspx?pid=4305#dl
This motherboard has a built in VGA adapter. The link above is to download and install the drivers.