Can you inform the place for shopping center near with my hotel in Guangzhou?

As I have no idea what products you prefer, I can just give you the general suggestion. Very close to your hotel, there is a Yitai Plaza and an Orient Shopping Mall (Dong Fang Shops) for your choice. If you want clothes, shoes and watches in a low price, walk to GZ Railway Station nearby area for a try!

what is the characteristic souvenirs from this city?

Handcrafts are the featured souvenirs. You can buy some at Onelink Plaza, Yide Road or Shangxia Jiulu pedestrian.