This Italian classic typically showcases four cheeses with different characteristics. We topped the crust with fontina (semi-firm), mozzarella (soft and fresh), Gorgonzola (blue-veined), and Pecorino Romano (hard and aged).
Heat a grill until medium-hot. Generously brush one side of pizza dough with oil; grill, oiled side down, until underside is golden brown and top begins to bubble, 3 to 5 minutes. Quickly brush top with oil; flip crust. Top with a thin layer of all four cheeses. Grill until just melted and crust is cooked through, 3 to 5 minutes more.
Slide pizza with a large spatula onto a cutting board. Season with salt and pepper. Repeat to make more pizzas.