Preheat oven to 375°F and line a large baking sheet with parchment paper. Stretch or roll the dough into a large oval (about 11x8-inches) on the baking sheet.
Combine the butter and olive oil in a small bowl. Brush the dough with the butter-oil mixture.
Sprinkle the berries and the sugar on top and bake until dough is golden and berries begin to bubble and burst, 20 to 25 minutes. Cut dough into 9 pieces to serve.