I'm in NJ and filed a motion for visitation and my ex never responded to the court. What happens now? Am I automatically granted the motion?

As answered by Ms. Anderson, your motion should be granted assuming that you did not ask for anything that you were not legally entitled to. You should be (or already have received) an order that will describe what portions of your motion were granted, and what if any, was not granted. You may also be ordered to serve a copy of the order upon the other parent to make the other parent aware.