Preheat the oven to 350°F (180°C). Grease and flour a 9×13-inch cake pan. For a layer cake, line the bottoms of the cake pans with parchment paper rounds, then grease and flour the sides.
In a medium bowl, sift together the cake flour, baking powder, baking soda, and salt. Whisk to combine and set aside.
In another bowl, combine the buttermilk and freshly squeezed lemon juice. Whisk briefly and set aside.
In a large mixing bowl, beat the softened butter, sugar, and lemon zest for about 2–3 minutes, or until light and fluffy.
Add the vanilla extract. Beat in the eggs one at a time, scraping down the sides and bottom of the bowl after each addition.
With the mixer on low, add about one-third of the dry ingredients to the butter mixture. Mix in half of the buttermilk and lemon mixture.
Add another one-third of the dry ingredients, followed by the remaining buttermilk mixture. Finish by mixing in the final third of the dry ingredients. Stop mixing as soon as the batter comes together to avoid overmixing.
Toss the blueberries with 2 teaspoons of flour. Gently fold them into the batter using a spatula.
Transfer the batter to the prepared pan or pans and spread it evenly.
Bake the Lemon Blueberry Cake for approximately 30–35 minutes in a 9×13-inch pan, or 25–30 minutes for layer cakes. The cake is ready when the top looks set and a toothpick inserted into the center comes out clean or with a few moist crumbs.
Let the cake cool completely in the pan. If making a layer cake, allow the layers to cool fully before removing or assembling them.