Step 1

Preheat grill to medium-high. (Or to bake instead, see Tips.)

Step 2

Roll dough out on a lightly floured surface into a 12-inch oval. Transfer to a lightly floured large baking sheet. Combine 1 tablespoon oil and garlic in a small bowl. Bring the dough, the garlic oil, cheese, corn and prosciutto to the grill.

Step 3

Oil the grill rack (see Tips). Transfer the crust to the grill. Grill the dough until puffed and lightly browned, 1 to 2 minutes.

Step 4

Flip the crust over and spread the garlic oil on it. Top with the cheese, corn and prosciutto. Grill, covered, until the cheese is melted and the crust is lightly browned on the bottom, 2 to 3 minutes more. Return the pizza to the baking sheet.

Step 5

Top the pizza with arugula, basil and pepper. Drizzle with the remaining 1 tablespoon oil.