Preheat your oven to 375°F (190°C). Line a muffin tin with paper liners or grease it lightly.
In a large bowl, whisk together the gluten-free flour, sugar, baking powder, and salt.
In another bowl, beat the eggs, then add the milk, vegetable oil, and vanilla extract. Mix well.
Pour the wet ingredients into the dry ingredients and stir until just combined. Do not overmix.
Gently fold in the blueberries.
Divide the batter evenly among the muffin cups.
Bake for 20-25 minutes, or until a toothpick inserted into the center of a muffin comes out clean.
Let the muffins cool in the tin for 5 minutes, then transfer to a wire rack to cool completely.