Preheat oven to 325 degrees F. Prepare 24 standard muffin tins with paper cups.
In a stand mixer, combine butter, oil and sugar until light and fluffy.
Add eggs, one at a time, beating after each addition. Stir in vanilla.
In a small bowl, sift gluten free flour blend, guar gum, baking powder and salt.
Beginning with flour mixture, add about ⅓ of mix to egg mixture and combine. Then add about ⅓ of milk and combine. Continue alternating until flour mixture and milk is entirely incorporated.
Very gently stir in ½ cup of sprinkles. Stir just enough to evenly distribute sprinkles. Too much stirring will cause the sprinkles to bleed their colors.
Fill each muffin cup ¾ full with batter.
Bake for 18-20 minutes, checking half way through to rotate the pan for even cooking if needed. The cupcake top should be slightly golden. Be careful not to over-bake as the white cake darken very fast. Remove from oven and allow to cool completely on a wire rack before frosting.