G41 is indeed an integrated graphics "card" (only a single chip on the motherboard, in your case). It is not in your CPU, it is a part of the motherboard chipset. And it is a quite bad unit, even using Windows is unacceptable, has blurry image and 3D performance is downright awful. I know because I owned this motherboard before
If it is your only display device at the moment, get a discrete GPU - quite frankly, even the worst and the cheapest one you can get will do a far better job.