You can go about grilled pizza a couple ways, depending on how much work you want to do. We use a Traeger pellet grill and usually use oak pellets.
Simple way is buy a Papa Murphy pizza of your choice and use a pizza stone to cook on.
More elaborate way is a double crust pie in a cast iron skillet dressed with any ingredients you desire. One of our distinguished posters started a thread on this method.
Love pizza fresh off the grill