Is there a long distance bus from Shantou airport to Dong shan dao (Xipu cun) near Nan shan temple.

Do you mean the Dongshan Island in Dongshan County, Zhangzhou, Fujian?
Well, there is no direct bus from the airport, You need to transfer. Take the airport shuttle bus line – ST East Line to ST Central Bus Station. Take a bus from the station to Dongshan Bus Station. And then take taxi to reach there.

How is the going from Shantou airport to the central bus station? What is the road name at central bus station?

Hey, you can take the airport shuttle ST East Line to its terminal, Golden Gulf Hotel. After arrival, transfer a taxi to reach the central bus station. Taxi fare would cost CNY20. The bus station is located in Taishan Road in Longhu District.