If you are talking about the little brown pump at the very bottom of the picture that looks Like a Bronze taco model 006B. That is most likely the "Domestic" hot water recirc pump. It looks like it is hard wired and plumbed to the little water heater on the left. If that is the case it is always on to make sure there is hot water waiting at all of the faucets. That is not the heating pump. And you could save money on electricity and water heating by putting it on a timer.
