Heat the oven to 475°F and lightly oil a baking sheet.
Roll the pizza dough into a 12-inch circle and place it on the prepared sheet. Brush the edge with olive oil.
Spread ⅓ cup of pesto evenly over the dough, leaving a small border around the edge.
Sprinkle the mozzarella cheese over the pesto in an even layer.
Arrange the pepperoni slices in three concentric circles on top of the cheese.
Use the back of a spoon or a small knife to drag lines from the center outward through the pepperoni circles, creating a web pattern.
Bake for 12 to 14 minutes until the crust is golden and the cheese is bubbly.
Remove from the oven and drizzle the remaining pesto in thin lines across the top to finish the web design.