It depends what kind of boat it is. If it's a rowboat, you row it. If it's a canoe or kayak, you paddle it. If it's a sailboat, you sail it. If it's a motorboat, most people would probably say "take" which is a little vague. Unless you were in a race, then you could use the verb "to race" with any kind of boat. If you are a passenger (not in command of the boat), you could ride on the boat. If it was a ship or a ferry, you pilot it.
A more general but infrequently used word for any kind of boat is "to helm" it.
For recreation, you can say that you "go sailing" or "go boating" or "go kayaking", etc.
Sorry that it's so confusing!