It's closest to Shanghai. But because it's close, there's only one daily flight from Pudong (the international aiport of Shanghai) to Ningbo, and 2 from Hongqiao, the old domestic.
There are more daily flights from Beijing, Guangzhou or Hong Kong - all served by Thai, a *A airline. BKK-HKG should be cheaper than PEK or CAN, but the HKG-Ningbo flight will be more expensive than from the other two cities. You have to find out.
The main attraction in the area is Putuoshan, an island off the coast which is dotted with famous Buddhist monasteries.