This isn't even a challenge for today's fast computers. Even an Intel Atom might run this stuff just fine. I would say any dual core or better that came out in the past two years will work perfectly fine, but I would not get an Atom.School work, Internet browsing, light online games, Gimp.
Why intel? If cost is a factor go amd. Or wait for llano and BD, if successful they should force price drops on intel and previous gen amd cpu's.