Classic pizza Margherita is always a favorite.
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 thin layers of sauce and cheese. Grill until cheese is just melted, sauce is hot, 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. Arrange basil on top. Repeat to make more pizzas.