I've lived in Newark for almost 2 years and have loved it. It's a typical college town and pretty low key
You'll probably be shown most of Central campus (North Campus is mainly res halls and South Campus is our health and sciences etc). If you get to South Campus, you have to try UDairy ice cream. Central campus has most of the academic buildings plus the Green. It's also right near Main Street, which has amazing restaurants and all the bars. I would 10/10 recommend the food at Klondike Kates. Deer Park Tavern is also pretty well known just because it's an older tavern. If you're into nature, White Clay Creek State Park is huge and gorgeous as well. For breakfast, you should try Home Grown (which is also my favorite bar) or this waffle place called The Perfect Blend. Also if you're a sandwich person, try Capriottis.
Basically, there's not a SUPER lot to do, just hang out with your friends, go to the mall, go out to eat, etc. But we're about 40 minutes from Philly and under 2 hours from DC which is pretty great, so you can days/nights in the city without having to live there.