If you do go for the Compaq laptop law listed, you might also want to get a laptop cooler. It probably won't need it at first, but after a few months you'll prolly start noticing it getting heat issues (at least the fan will be noisier than before). It has a 2.1Ghz AMD Athlon II and a ATI HD 4250, according to HP's site.
I call BS on the "this laptop PC's blazing speeds and fast operation will simply blow you away" part in the description, but meh. For a first laptop, you could do worse (like getting underpowered 7" netbooks).
If possible, look for a laptop with Core i3. There should be a few in the $400-500 range.