You can spend an afternoon browsing the exhibits at Palace of Fine Arts during your travels in Lille. While in this walkable area, find time to visit its shops.
Le Palais des Beaux Arts de Lille is just one of the attractions in Lille Centre Ville, Lille so you might want to stop by during your trip. If you want to experience more of the culture Lille has to offer, head to Palace of Fine Arts, Theater Sebastopol, and Braderie Lille.