Preheat your oven to 350°F (175°C) and grease a cake pan.
In a medium bowl, whisk together the gluten-free flour, baking powder, and salt.
In a large bowl, beat the butter and sugar together until light and fluffy.
Add the eggs one at a time, beating well after each addition.
Stir in the vanilla extract and milk, then gradually add the dry ingredients. Mix until just combined.
Fold in the white chocolate chips.
Pour the batter into the prepared pan and spread it evenly.
Bake for 25-30 minutes, or until a toothpick inserted into the center comes out clean.
Allow the cake to cool completely before serving.