Where to take trains from Hangzhou Airport to Suzhou?

Hi,
My plane lands at the airport, and I would like to travel to Suzhou by train, preferably by G train. Is the train station close to the airport ? My hotel in Suzhou is in the town centre, at the junction of Renmin Lu and Ganjiang Lu , and on looking at the train timetable I see there a number of train stations in Suzhou.
Could you tell me which of the train stations is closest to the town centre.

Thanking you
Ken.