do you mean the U of Ill-Chicago? Because U of Ill. is in Champagne which is like 2 hours south of Chicago. UI-Chi is kind of in the middle of nowhere in regards to the city so you'd have to take a cab to wherever you'd like to see.
for bars go to Rush Street (older crowd) or Wrigleyville (younger). There's a bunch of pubs on State & Division I used to make deliveries for that are pretty chill. McFadden's, Finn McCool's, McGuire's are all right next to each other.
I'm not big on clubs so I can't help you there.
Food I know a lot about lol. The best beef is at Al's, like jl said. There's also a chain around Chicago called Portillo's where everything is great. Beefs, hot dogs, combos (beef & italian sausage), burgers... Best pizza is debatable. For deep dish you can try Giordano's, Lou Malnati's, Pizzeria Uno or Connie's. Most people love Home Run Inn for thin crust but I'm not a big fan.
For sights you can check out Wrigley Field, Shedd Aquarium, Lincoln Park Zoo, Lake Shore Drive. I recently found out there's a restaurant/bar on the 95th floor of the Hancock Building, so rather than taking the tour for $20 you can go up there and spend whatever you want on food and booze (it's a little pricey) and you have a view of the entire city.