Step 1

Heat the oven to 400°F and heat the baking sheet. Arrange a rack in the lowest position in the oven. Invert a rimmed baking sheet, place on the rack, and heat the oven to 400°F. Have a sheet of parchment paper ready.

Step 2

Melt the cream cheese and mozzarella. Place the mozzarella and cream cheese in a large, microwave-safe bowl and heat on high until melted, stirring occasionally, about 90 seconds total. (Alternatively, melt the cheeses in a nonstick skillet over medium-low heat, then transfer the melted cheeses to a large bowl.) Use a rubber spatula to stir the melted cheeses together until mostly smooth and cool to the touch.

Step 3

Knead the dough until smooth. Add the flour and egg and stir until well combined. Coat your hands with the olive oil and gently work the dough until it is smooth and slightly springy -- the goal isn’t a perfectly smooth dough, but rather a homogeneous dough with no visible pockets of cheese or egg.

Step 4

Press the dough out into a 10-inch circle on parchment paper. Working with well-oiled hands, transfer the dough onto the parchment paper and press it into a 10-inch round. If the dough is very sticky, cover it with another piece of parchment and use a rolling pin to roll it into the circle. Use a fork to poke and "dock" the dough all over and prevent bubbles in the oven.

Step 5

Parbake the crust for 8 minutes. Move the pizza crust on the parchment onto the hot inverted baking sheet. Bake for 8 minutes. While the crust bakes, make the garlic sauce.

Step 6

Make the garlic sauce. Place the Parmesan, cream, and garlic in a small saucepan over low heat and bring to a simmer. Simmer, stirring regularly, until thickened, about 3 minutes; set aside.

Step 7

Top the pizza. Remove the crust from the oven. Evenly top with the cream sauce, broccoli florets, and remaining shredded cheese.

Step 8

Bake until golden, another 5 to 7 minutes. Return the pizza to the oven and bake until the crust is a deep golden brown and the cheese on top is melted, 5 to 7 minutes.

Step 9

Cool and slice. Transfer the pizza to a wire rack and cool for 5 minutes before slicing and serving.