/// Not if you install a thermostat with a air bleed hole in it. There is no bleeding necessary. In older times an aspirin tablet was put into the thermostat to allow air to escape the block. It would dissolve when the system filled. There should be a small hole (less than 1/16th inch) in your new thermostat. There may be a weight through it to keep the hole from plugging up.

A word of caution. The heater hoses are at the back of the engine and usually overlooked. If there is a hole in one of these it will allow the cooling system to slowly drain down and the coolant will finally boil. The hoses will eventually fail and drain the system quickly. Check the car by running it over a clean dry spot that will reveal any leak no matter where it is.