Is there a private transportation or a bus that pick up passengers from Baoshan Port to Pudong?

I am wondering if you refer to Pudong Airport? If so, no direct bus is available. You can book the transfer service of certian travel agency like Travel China Guide for a direct access. If interested, their contact is bookingtravelchinaguide.com! With public transportation, you can take the free shuttle bus from the port to Baoyang Road metro station. Take line 3 there to Baoshan Road and transfer to line 8 to People's Square. After that, change to line 2 to PVG directly.