At Pudong Airport, you could take a coach to arrive in Suzhou directly. The buses leave at 10:00, 10:40, 11:10, 11:40, 12:10, 12:40, 13:10, 13:50, 14:20, 14:50, 15:20, 16:10, 16:50, 17:20, 18:10, 18:50, 20:00

If you miss it, please take the airport shuttle bus Line 5 to Shanghai Railway Station firstly. The journey is about one hour. Then, you could purchase a ticket of the bullet trains to arrive in Suzhou in 40 minutes. Well, the train schedule could be searched at https://www.travelchinaguide.com/china-trains/