Shanghai Museum is just one of the attractions in Downtown Shanghai, Shanghai so you might want to stop by during your trip. It's also full of great shops and restaurants, so you can spend the afternoon having a wander. If you want to experience more of the culture Shanghai has to offer, head to People's Square, South Yunnan Road, and Shanghai Grand Theatre.
People's Square is worth passing through for a few pics when in Downtown Shanghai. Why not live the cultural experience and visit the museums and art galleries in the area— your sightseeing tour starts here. It's also full of great shops and restaurants, so you can spend the afternoon having a wander. Shanghai has other landmarks you might want to visit such as The Bund.