Preheat the oven to 425°F. Lightly grease a standard 12-cup muffin tin or line it with 12 paper muffin cups.
In a medium bowl, combine the zest of 2 lemons, 1/2 cup granulated sugar, and 1/3 cup brown sugar. Use your fingertips to rub the lemon zest into the sugars until the mixture is moist and fragrant.
In the bowl of a stand mixer fitted with the paddle attachment or in a large mixing bowl with an electric mixer, add 1/4 cup softened unsalted butter, 1/4 cup vegetable oil, and the zested sugar mixture. Beat until smooth and combined.
Add the 2 large eggs and 1 teaspoon pure vanilla extract to the butter mixture and beat just until combined.
In a separate medium bowl, whisk together 2 2/3 cups all-purpose flour, 1 1/2 teaspoons baking powder, 1/4 teaspoon baking soda, and 3/4 teaspoon salt.
With the mixer on low speed (or by hand), add the flour mixture to the butter mixture alternately with 1 cup milk, beginning and ending with the flour mixture. Mix just until each addition is incorporated and the batter is smooth. Scrape the bowl as needed.
Gently fold 1 1/3 cups fresh blueberries into the batter with a spatula, taking care not to crush them.
Spoon the batter evenly into the prepared muffin cups, filling each nearly full.
Bake for 15 to 17 minutes, or until the tops are a pale golden brown and a cake tester inserted into the center of a muffin comes out clean.
Remove the muffins from the oven and let them cool in the pan for a few minutes, then transfer the muffins to a wire rack to cool slightly before glazing (they should still be warm but not piping hot).
In a medium bowl, whisk together 3 tablespoons melted unsalted butter, 1 cup sifted confectioners’ sugar, 1/2 teaspoon pure vanilla extract, 1 tablespoon freshly squeezed lemon juice, and 1 tablespoon warm water until smooth to make the glaze.
Dip the top (crown) of each slightly cooled muffin into the glaze, set them back on the rack, and allow the glaze to harden. If you want a thicker coating, wait for the first glaze to set and dip the muffin tops again for a double glaze.
Serve the muffins warm, or cool completely on a rack and store airtight at room temperature for about a day.
Notes
Muffins should be warm but not piping hot before glazing so the glaze sets properly.
Store airtight at room temperature for about a day.