Arrival at Shanghai Pudong International Airport:
Take line 2 from Pudong International Airport. Caution: you will have to get off the 4-car metro train at Guanglan Road and get on the 8-car metro train to continue your journey o line 2. At People's Square, change to line 1. The Conservatory is at Changshu Road. http://www.travelchinaguide.com/cityguides/shanghai/transportation/subway-line2.htm
The Maglev Train
This is the Chinese bullet high speed train which connects Pudong Airport to a Longyang Road Metro station in 7 minutes. At Longyang Road Metro station, connect to line 2. Change at People's Square and take line 1. The Conservatory is at Changshu Road.
A taxi from Pudong to the Conservatory or a nearby hotel should cost you about 200 yuan.