Preheat the oven. Heat the oven to 475°F (245°C). Place a pizza stone or baking sheet inside while the oven preheats so the cooking surface becomes thoroughly hot.
Shape the dough. Lightly flour your work surface and roll or stretch the pizza dough into your preferred shape and thickness. Make sure it will fit comfortably on your pizza stone or baking sheet.
Make the lemon-herb mixture. In a small bowl, combine the olive oil, water, chopped parsley, grated garlic, lemon zest, 1 tablespoon lemon juice, salt, and black pepper. Stir well until evenly combined.
Season the crust. Brush the lemon-herb mixture evenly over the surface of the dough, leaving a small border around the edge if you prefer a more defined crust.
Add the cheese. Tear or slice the fresh mozzarella and distribute it evenly over the dough. Sprinkle the Parmesan cheese over the mozzarella.
Bake. Carefully transfer the assembled pizza to the preheated stone or baking sheet. Bake for 10 to 12 minutes, or until the crust is golden and the cheese is melted, bubbly, and lightly browned in spots.
Add fresh lemon flavor. Remove the pizza from the oven and immediately drizzle the remaining 1 tablespoon lemon juice over the top.
Finish and serve. Sprinkle with fresh parsley and freshly ground black pepper. Add optional chili flakes, arugula, turkey slices, capers, basil, or thyme. Slice and serve warm.