Preheat the oven to 350°F. Grease and flour your bundt pan well so the cake releases easily.
Whisk together the flour, baking powder, baking soda, salt, and brown sugar in a medium bowl.
In a large bowl, cream the softened butter until fluffy. Beat in the eggs one at a time, then mix in the vanilla and lemon zest. Add the dry ingredients in batches, alternating with the Greek yogurt, mixing just until combined.
Gently fold in the flour-tossed blueberries, pour the batter into the pan, and smooth the top. Bake for 50–60 minutes until a toothpick comes out clean. Cool completely before drizzling with lemon glaze.