Michigan fan here - welcome in advance to Ann Arbor. A few tips:
FRIDAY NIGHT DINNER/BAR OPTIONS:
-Most of the bars/restaurants that cater to students are clustered along State Street or South University which border central campus. If that is what you're looking for, Rick's or Good Time Charley's are classic student hangouts. Another is Scorekeepers, which is just a bit off State Street. Be warned, if you aren't an undergraduate or close to it you will probably feel a bit out of place at those spots.
-Main Street is where the nicer bars and restaurants are clustered (where mom and dad take the students out to eat when they visit). Gratzi is good for italian, Chop House for steaks. Frita Batidos if you are looking for something more casual. Grizzly Peak is also a solid brewpub with good food.
GAMEDAY
With a noon start, probably will want to hit tailgates pretty early. The two main places are the golf course and Pioneer High School lot. Both are big and great, very close (less than 5 minute walk) to the Stadium. I usually park at the golf course because I prefer to be on grass, some prefer Pioneer because the paved lots there permit RVs so you can sometimes catch on at some of those huge tailgates. Both of those lots charge $50. There are lots of smaller tailgate spots (mostly yards of private houses) that are a bit cheaper. Most people will be friendly . . . just don't bring up '97 (hahaha).
If you want to be sure to be there for kickoff, make sure you are at the gates at least 20 minutes before the start time as it can bog down a bit at the tunnel entrances for the various sections.
Have fun and Go Blue!