Activate Yeast: In a bowl, combine warm water and sugar, then add yeast. Stir and let sit for about 5 minutes until frothy.
Make Dough: Combine 2 cups flour and salt in a bowl or stand mixer. Add olive oil to the frothy yeast mixture, stir, then combine with the flour mixture. Mix to combine (add in additional flour at this point if it's too sticky, no more than 1/2 cup) and then knead the dough on a floured surface until it forms a ball. Place in an oiled bowl, cover with a towel, and let rise for 30-60 minutes.
Prepare Sauce: Blend canned tomatoes, garlic, basil, and oregano. Season with salt and pepper to taste.
Preheat Oven: Preheat the oven to 500°F and heat up your pizza stone, cast iron skillet or baking sheet.
Form Pizza: After dough has risen, divide and stretch it into desired shape. Place on parchment paper. Add tomato sauce, mozzarella, and parmesan. Drizzle with olive oil around the edges.
Bake: Transfer parchment with pizza to the hot stone or skillet. Bake for about 12 minutes, until golden and bubbly.
Finish: Top with pesto and burrata. Drizzle with olive oil and garnish with fresh basil.