On a floured surface, shape dough into 1 medium pizza. Let sit for 5 minutes then re-form into desired size. Place on a lightly floured rimless baking sheet.
Spread basil pesto over top of pizza. Add mozzarella, then scatter peas and asparagus on top. Transfer to oven and cook for about 5 minutes.
Remove pizza from oven, add eggs on top and place back into oven to cook until egg white is set and yolk is still runny.