First of all see if your graphics card port is up on the side of the back of the computer case (if you've got a computer shaped like 95% of us). If it's up there, it's built in. If it's down by the pci slots, then you have a standalone card. Whether it's PCI --god forbid--, AGP, or PCI-E is something that you have to find from the system properties. You can also get details about the graphics card by right-clicking on the desktop >display properties >settings >advanced >adapter and it'll give you all the info you need.
See example:
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