Right down the road from the hotel is Meadowmont Village where there are a few really good restaurants to choose from including: Brixx Wood Fired Pizza, Chronic Tacos, Fusion Fish, and Cafe Carolina (only open until 8).
This is the shopping center right next to the Aloft hotel, there are a couple restaurants in here to choose from as well including: Tobacco Road Sports Cafe, and Elements.
The hotel has a very nice bar that stays open until midnight, or the Tobacco Road Sports Cafe next door stays open until 2
Chapel Hill botanical gardens if you're looking for a nice and fun Saturday afternoon activity.