Eww, Gateway, etc.
5400rpm is really slow! You will almost certainly notice that. With a 2.5GHz quad-core, your hard drive will be a bottleneck to begin with; 5400rpm will just make it worse.
The Radeon HD 3200 is a very low-end video card. Actually, my bad, it's not even a card; it's ATI's integrated video chip. Do not expect to be doing any relatively modern gaming at all on this GPU. Also, the machine only has one PCI-e x16 slot, so while upgrading is entirely possible, dual video cards is not.
Also on the subject of expansion card slots, it's only got two extra PCI slots, so expansion on that front is limited as well. (Although, given how much is onboard, it's doubtful that that would be a problem.)
It's a really weirdly-balanced machine. On one hand, it's got a 2.5GHz quad-core and 8GB memory; on the other, it's got a 5400rpm hard drive which has been sub-par in desktop machines for well over a decade and onboard video barely better than your average Intel GMA.
Given the above low points and including past experience with Gateway's build quality, I'd say the $680 pricetag feels too high by about $20. However, I can't even match the systems specs (with the exception of the hard drive which has been substituted with a 1TB, 7200rpm drive) with a lowly Inspiron without a $63 higher pricetag. (As a side note, I'd probably feel better about buying the Inspiron regardless of the higher price.)
tl;dr: I wouldn't buy it because I don't like Gateway and the hard drive's too slow.
--- Mr. DOS