There is no Tourist Office in George Town, but there is a useful homepage of TOURISM PENANG with the Penang Traveller's Map by the Penang State Tourism Department to download with a description of the most important sightseeing places. 

Link to the Homepage

Link to the Downloads

 

When you fly to Penang, you find at the Penang International Airport the office of MALAYSIA TOURISM (on the arrival floor - on the right side after the custom) with the PENANG STREET FOOD map for free, a useful guide with many restaurants and meals and good for orientation.