Combine gluten-free flour blend, tapioca starch, potato starch, yeast, salt, and sugar in a mixing bowl.
Add warm water and olive oil. Mix until just combined. Do not overmix.
Cover the bowl and let the dough rise in a warm place for 2 hours, or until nearly doubled in size.
Preheat oven to 425°F (220°C). Line a baking sheet with parchment paper.
Transfer the dough to the prepared baking sheet. Gently spread it out with your fingers.
Dimple the dough with your fingertips. Drizzle generously with olive oil and sprinkle with sea salt, rosemary, cherry tomatoes, and olives.
Bake for 20-25 minutes, or until golden brown and cooked through.
Let cool slightly before slicing and serving.