If you're willing to drive 15 minutes, you can do mall shopping at Briarwood Mall on State Street, right off of exit 177? of I-94. (You'll be near exit 183.) Macy's, JCP, Sears, H&M, Sephora, GAP, Forever 21, Apple Store, Ann Taylor, Coach, Banana Republic, et al.
If you like boutique ambiance, you can go downtown Ann Arbor near the central campus of U Michigan for more exclusive, pricier stuff. Lots of good restaurants, including a vegan place, Seva, but you could go classic UofM and have pizza at the Brown Jug or the original Cottage Inn. (You could also just order CI to be delivered to your hotel. Get a sesame crust.) Ooh! Or a calzone and milkshake at Bob's. Om nom nom.