That car actually isn't the worst thing ever to hit the road, hyperbole aside. It is, however, quite poor, and at $5k, about $4k overpriced. The insulting thing about those cars is that as small/crappy/underpowered/flimsy as they are, you'd think you'd be getting 50mpg like the old Geo Metro / Civic HX (was it HX? can't remember, but one of them hit about 50 or so). The Aveo doesn't, not even with the manual, and the auto ones are AMAZINGLY bad.
Badgewise, it's not a Chevy in any meaningful way, just like the Vibe is a Toyota, the Prism was a Corolla, etc. Unfortuately, the Aveo is simply a horrible Korean car. Korea makes many many fine cars, this wasn't one of them.
$5k can get you something almost infinitely better, and if you're looking for things that area actually quite good but suffer from poor badge image, the Pontiac Vibe is a good candidate. Even with 100k or so on the clock, I'd take a Vibe every single day of the year over an Aveo.