Well, during these two days, you could vist many places in Shanghai. For example, Nanjing Road-Bund-Oriental Pearl Tower-Yuyuan Garden~ Wow, it seems that you don't have enough time to make a travel plan well. So, you'd better to ask for help from a reliable agency who could give you a efficient two-day's tour~ Good luck~

lots of places such as old town area with Yu Yuan garden , the bund, Xintiandi, Pearl TV tower, people's square...also the ancient water town in the outskirts for half day trip. Let me know your preference so that if will be easy to choose the sites for you. I'm a local English-speaking tour guide & interpreter, you can reach me at: gmail.com|alexialsk. I could arrange the tour and let you see as much as possible both for tourist sites & local sites.