6570 is what you would call a mainstream video card. It's one of those cards best suited for multimedia usage and light gaming. My gf uses a Radeon 5670 1 gig DDR5 card which is practically the same thing but 80 less shaders then the 6570. It runs Skyrim perfectly fine 1920x1080, everything on high except decals on ultra, shadow medium, 2xAA, 8xAF. Your computer will absolutely look better then it does on xb360.
I started a thread with a bunch of tweaks/fixes/enhancements. You are welcome to try those also. http://www.tomshardware.com/forum/115196-13-skyrim-experience