Best way to get from Galley Suites Hotel, Heng Shan Road, to Hongqiao Bullet train terminal

Your hotel is very close to the Heshan Road Station of Subway line 1, so you can walk there and then take the line 1 to reach People Square Station. At that station, you can take the subway line 2 to reach Shanghai Hongqiao Railway Station directly.
I think this is a convenient way.