Preheat your oven to 350°F (175°C).
Prepare your baking pans by greasing and flouring two 9-inch round cake pans.
In a separate bowl, whisk together the gluten-free flour, baking powder, and salt.
In a large mixing bowl, cream together the softened butter and granulated sugar until light and fluffy, about 3-4 minutes. Add the eggs one at a time, mixing well after each addition, then stir in the vanilla extract.
Gradually add the dry mixture to the wet ingredients, alternating with the milk, until just combined.
Divide the batter evenly between the prepared cake pans and smooth the tops.
Bake for 25-30 minutes, checking for doneness with a toothpick.
Allow the cakes to cool in the pans for about 10 minutes before transferring to a wire rack to cool completely.