Combine garbanzo bean flour, Parmesan cheese, dill, salt, and black pepper together in a bowl. Stir in 1 1/2 cups water and 3 tablespoons olive oil. Set dough aside to rest, about 30 minutes.
Preheat oven to 400 degrees F (200 degrees C). Grease a large pizza pan with remaining olive oil.
Mix remaining 1/2 cup water into dough; turn out onto prepared pizza pan.
Bake in preheated oven until top is golden brown, about 10 minutes.
