What's cool in Cleveland?
The Cleveland Museum of Art - It's free to the public and rox.
There's not much else to see in Cleveland proper. Unless you want to visit the Public Library downtown, which is nice; but not very useful unless you take a laptop and rape their CD library.
You can also visit our glorified bus terminal / hobo toilet aka set from Double Dragon the Movie called Tower City. It's a dilapidated collection of overpriced retail stores that the city folk are too poor to shop at, and the suburban workers turn their nose up since they have Best Buy and Wal-Mart's in their backyards.
You may want to check out
Coventry and
Murray Hill (Little Italy). We really don't have any well organized subculture communities outside of Little Italy. You blink and you'll miss the two blocks of Asians. The Polaks are no longer centralized and the neighborhood is overrun with poor non-Poles, prostitutes, drug dealers, and assholes willing to mug you.
On Coventry you'll find Que Tal! Mexican restaraunt. And the Hunan on Coventry, and some other places to eat if you're hungry.
There's also Big Fun a collectors toy store specializing in old overpriced collectibles. A lot of yuppie shits love this place, but for the most part it's just fun to walk around and remember playing with some of the stuff.
You might want to check out the Lorain Carnegie Bridge, just to get a glimpse of some nifty architecture - which is pretty rare in Cleveland.
All in all, there's not much to see here; excluding tourist trap shitholes like the Rock Hall. That's why it's the Poorest City in America. :X
I'd suggest just spending the day at the Art Museum.