First you need to ask the Shanghai Career Guidance Center for Graduates for an application form for non-local students looking for work in Shanghai. After you get a job offer from a local company, ask the company to stamp the application and give it back to the center. The center will check the information from both parties, and respond within 15 working days.

Shanghai Career Guidance Center for Graduates
Address: No. 900, West Yan'an Road
Tel: 62403626
Website: www.firstjob.com.cn