Step 1: Preheat your oven to 400°F (200°C). Line a large baking sheet with parchment paper. Unroll the pizza dough onto the prepared baking sheet and stretch it into a 12-14 inch circle or rectangle. Don’t worry if it’s not perfectly round.
Step 2: Brush the entire surface of the stretched pizza dough generously with the 4 tablespoons of melted unsalted butter.
Step 3: In a small bowl, whisk together the 1/2 cup granulated sugar and 2 teaspoons ground cinnamon until well combined. Evenly sprinkle this cinnamon sugar mixture over the buttered pizza dough, ensuring good coverage.
Step 4: Transfer the baking sheet to the preheated oven and bake for 12-18 minutes, or until the crust is golden brown and the topping is bubbly and caramelized. Keep an eye on it to prevent burning.
Step 5: While the pizza bakes, prepare the glaze. In a medium bowl, whisk together the 1 cup powdered sugar, 2-3 tablespoons milk, and 1/2 teaspoon vanilla extract until smooth and drizzle-able. Adjust milk/powdered sugar as needed for desired consistency.
Step 6: Once the cinnamon sugar dessert pizza is out of the oven, let it cool on the baking sheet for a few minutes. Then, generously drizzle the prepared glaze over the warm pizza. Slice into wedges or squares and serve warm.