In a large bowl, whisk together the gluten-free flour, salt, instant yeast, and sugar until evenly combined.
Add the warm water and olive oil. Stir with a wooden spoon or spatula until a sticky, batter-like dough forms. Do not add more flour.
Cover the bowl with a kitchen towel or plastic wrap. Let rise in a warm place for 1 to 2 hours, or until roughly doubled in size.
About 30 minutes before the rise is complete, place your Dutch oven with lid inside the oven and preheat to 450°F (230°C).
Lightly flour a work surface. Scrape the risen dough onto it and gently fold the edges into the center to form a rough round shape. Let rest for 30 minutes.
Carefully remove the hot Dutch oven from the oven. Line with parchment paper. Transfer the shaped dough into the pot.
Cover with the lid and bake for 30 minutes.
Remove the lid and bake for an additional 15 minutes, until the crust is deep golden brown.
Transfer to a wire rack and cool for at least 20 to 30 minutes before slicing.