Place the flour, water, yeast, sugar, salt, and oil, in the bowl of a stand mixer and mix for 60 seconds.
Alternatively use a food processor by adding the flour, sugar salt, yeast to the bowl, and process while streaming in the warm water followed by the olive oil.
Process until combined and a ball forms.
Pour the sticky dough into a well-oiled 12” cast iron skillet, or sheet pan.
Drizzle the top of the dough with more olive oil and cover with plastic wrap and a kitchen towel.
Let rise indoors in a warm spot for 45 minutes.
Press the dough to the edge of the pan, and cover again.
Preheat the grill to 375F.
Let rise 15 more minutes while the grill preheats, then uncover and press dough to the edge of the pan using your fingertips to create divots.
Drizzle with olive oil, and sprinkle with herbs, Parmesan, tomatoes, garlic, shallots, and flaky salt.
Bake 30-40 minutes until golden brown and cooked through.
Allow to cool a bit before removing from pan to enjoy.
