Where & how many transfers do I need to take from Shanghai Pudong airport to Suzhou Industrial Park?

Since I am not very clear where you will head for in Suzhou Industrial Park, I can tell you some information in general.
From the airport, you just need to transfer once at SH Railway Station to the Industrial Park. You can take the airport shuttle bus line 5 to reach SH Railway Station, where you can find bullet trains for Suzhou Industrial Park Station. Upon reaching, you can use other transportation methods for your final destination.