How are some ways I can get from Pudong Airport to Fraser Residence, Shanghai? What are the prices?

Upon landing, you can take shuttle bus line 5 and get off at East Yan'an Road Middle Zhejiang Road.
Then walk south along South Tibet Road around 900 yards to find the hotel. The ticket fare is around CNY 22 per person.
Or from PVG, take subway line 2 to People's Square Station, Exit 16. It takes around an hour with the ticket fare of CNY 7 per person. Then transfer to bus no.18 to South Tibet Road East Huaihai Road. After that, walk south around 300 yards.
You can choose the way you like. :)