Get your oven ready by preheating it to 400°F (200°C). Lightly grease a pizza pan to prevent sticking.
Gently unroll your refrigerated pizza dough onto the prepared pan, shaping it into a nice round.
Evenly spread the softened butter across the dough. This will be the delicious base for your cinnamon sugar.
In a small bowl, whisk together the 1/3 cup granulated sugar and 1 teaspoon cinnamon until well combined.
Generously sprinkle this delightful cinnamon sugar mix over the buttered dough, making sure to leave a small, half-inch border for the crust.
For the yummy streusel topping, combine 1/2 cup flour, 1/4 cup brown sugar, 1/4 cup granulated sugar, 1/2 teaspoon cinnamon, and 1/4 teaspoon salt in a medium bowl. Use a pastry cutter or a fork to cut in the cold, cubed butter until the mixture looks deliciously crumbly.
Evenly scatter this fantastic streusel topping over your pizza dough.
Bake in the preheated oven for just 9-10 minutes, or until the crust turns a beautiful golden brown. Carefully remove and let it cool on the pan for 10 minutes.
While the pizza cools, prepare the simple vanilla icing. In a small mixing bowl, whisk together the powdered sugar, heavy cream, and vanilla extract until wonderfully smooth and creamy.
Drizzle the sweet icing generously over the warm pizza, slice into servings, and enjoy this comforting, easy-to-make treat!