Is there any public from Zhuhai Gongbei to Yuan Ming Palace?

You can take public bus no.1 from ZH Urban Rail Station and get off at New Yuanming Palace Bus Stop.After arriving, walk north around 250 yards to find the South Gate of the scenic area.

Or you can take a taxi from Gongbei Port. The cab fare is around CNY 15 in usual time.
You can choose the way you like. :)