Preheat your oven to 350°F (175°C). Grease a loaf pan.
In a large mixing bowl, combine the mashed bananas, melted butter, and sugar.
Add the beaten eggs and vanilla extract to the banana mixture. Mix well.
In another bowl, whisk together the gluten-free flour, baking soda, and salt.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined.
Gently fold in the blueberries.
Pour the batter into the prepared loaf pan.
Bake for 60 minutes, or until a toothpick inserted into the center comes out clean.
Let the bread cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.