If you're planning a bit of sightseeing head to Drum Tower— just one of the monuments in Beilin. You could also start your cultural experience by heading over to the museums in the area. It's also full of great shops and restaurants, so you can spend the afternoon having a wander.
Find out about the history of Xi'an when you spend time at Small Wild Goose Pagoda. Check out the shops and top-notch restaurants in this walkable area.