Preheat the oven to 375°F (190°C) and grease a loaf pan.
In a small bowl, mix warm water and yeast. Let sit for 5 minutes until foamy.
In a large mixing bowl, combine gluten-free flour, baking powder, salt, and sugar.
In another bowl, whisk together eggs, olive oil, and the yeast mixture.
Gradually mix the wet ingredients into the dry ingredients until a smooth batter forms.
Pour the batter into the greased loaf pan and smooth the top.
Cover and let the batter rise for 30 minutes in a warm place.
Bake for 40 minutes or until the top is golden brown and a toothpick inserted comes out clean.
Remove from the oven and let cool for 10 minutes before transferring to a wire rack.
Slice and serve once completely cooled.