East Lansing is a piddly college town. Very different vibe from big city Ann Arbor. The main drag is Grand River, with "downtown" East Lansing on one side and campus on the other. As LO said upthread, campus is beautiful, especially the North end, close to Grand River. Once you get to the river, the other side is pretty meh but just on the other side of the river is Spartan Stadium and Breslin to the West. There is a Hall of Champions or something in the lobby at Breslin if you're into hoops and you just might see Izzo on his office patio right outside that area and he will talk to you if you do. The football stadium is dumpy but worth seeing I guess.
Walk campus, go to Beaumont Tower, get ice cream at the Dairy Store. Visit the Broad art museum if that's your thing.
East Lansing itself, mostly local bars and chain restaurants. I'm biased but people and students in town are pretty outgoing and friendly. Crunchy's and the Peanut Barrel for burgers. The best place to stay is the Marriott on M.A.C. or the new hotel, Graduate. There is apparently a cool bar on the roof up there but I haven't been there.
I hope the fall weather cooperates that weekend. It's a really nice time of year. Probably a little early for the leaves changing colors but a nice pleasant 75-80 during the day and a crisp 50-55 at night.