Preheat oven to 350°F (176°C). Spray or grease an 8x8in square pan (metal nonstick or glass). Line with parchment paper. (Greasing the pan first helps it stick better). Set aside.
In a bowl, combine flour, baking powder, and salt. Mix with a whisk and set aside.
In a separate bowl, melt butter in the microwave in 30 second intervals at 50% power. Combine melted butter and brown sugar in a large mixing bowl and whisk vigorously for one minute.
Add egg, egg yolk, and vanilla extract. Whisk vigorously until fully incorporated.
With a spatula, add dry ingredients to wet ingredients. (Using a sifter is best to avoid clumps.) Gently stir until almost fully mixed. Avoid over-mixing.
Carefully fold in the blueberries and walnuts. (The batter should no longer have any flour streaks at this point.)
Use the spatula to scoop the batter into your lined baking pan. Smooth out on top. Lightly press additional blueberries into the top of the batter and sprinkle on additional chopped walnuts, if desired.
Bake for 25-30 minutes if using a metal nonstick pan, or 35-40 minutes if using a glass pan. The blondies are done when a toothpick inserted into the center comes out with just a few crumbs (it should still be somewhat moist), and the edges are golden brown and starting to pull away from the pan.
Let cool completely. Once cool, use the parchment paper to lift the blondies from the pan. Slice with a large knife.**