Preheat the oven to 350°F (175°C). Grease and flour the Bundt pan.
In a bowl, mix flour, baking powder, and baking soda.
Cream butter and sugar until fluffy.
Add eggs one at a time, mixing well. Stir in vanilla.
Alternate adding flour mixture and sour cream, mixing until smooth.
Gently fold in the blueberries.
Pour the batter into the prepared pan. Smooth the top.
Bake for 55 minutes or until a toothpick comes out clean.
Cool in the pan for 10 minutes, then transfer to a rack.
Whisk powdered sugar, milk, and vanilla for the glaze.
Drizzle glaze over the cooled cake.