Try and see; only way to tell. From the benchmarks, any PC built within the last 2-3 years with a discrete GPU will be able to run the game with decent framerates.
Been planning to get the GTX 460 for a while and this article really sells it for me. Thanks for the post, good read.
And just if you're curious, on my laptop running a NVidia Geforce Go 6100 (real piece of ...card) I still managed to run the Beta for SC II. It was really laggy at parts and it couldn't display certain units properly, but I could still play on the lowest settings. So it can definitely work on lower end cards, you just have to sacrifice the pretty effects if its REALLY low-end.
'Anyone else have StarCraft II try to melt their hardware? Blizzard admits that it's a known issue and has a fix for you.
Apparently, the game's menu screens aren't framerate-limited. This means that when there's nothing else going on, your graphics hardware renders the bejeezus out of those screens, causing nasty overheating problems. The fix is easy, requiring players to add the following lines to your "Documents\StarCraft II Beta\variables.txt" "Documents\StarCraft II\variables.txt" file (nice catch, commenter LegolElf):
Good to know. Personally I would have appreciated a heads-up before my video card fried, but maybe this can save someone else from the hassle I've been dealing with since yesterday afternoon.