Preheat and prep pan. Preheat your oven to 350°F. Line an 8x8-inch square metal baking pan with parchment paper, leaving some overhang on the sides for easy removal. Set aside.
Infuse the sugar with lemon. Add 1 cup (200 g) granulated sugar and 3 tablespoons (18 g) lemon zest to a large mixing bowl. Use your fingers to rub the lemon zest into the sugar for 1-2 minutes. The lemon oils will release and the sugar will become slightly moist and turn light yellow. This step is key for maximum lemon flavor.
Mix in the butter. Pour ¾ cup (170 g) unsalted butter (melted) into the lemon sugar mixture. Whisk vigorously for 1-2 minutes until smooth and well combined.
Add the wet ingredients. Add 2 (100 g) large eggs, 2 tablespoons (30 g) fresh lemon juice, ¾ teaspoon lemon extract, and 1 teaspoon salt to the butter mixture. Whisk until the mixture is smooth and well combined, about 1 minute.
Add the flour. Add 1 ¼ cups (175 g) gluten-free flour blend to the wet ingredients. Use a spatula to gently fold the flour into the batter, stirring just until no streaks of flour remain. Do not overmix. The batter will be thick.
Bake the brownies. Pour the batter into your prepared pan and spread it into an even layer with a spatula. Bake at 350°F for 22-25 minutes. The brownies are done when the edges are lightly golden brown and a toothpick inserted into the center comes out with just a few moist crumbs (not wet batter, but not completely clean either). Don't overbake or they'll be dry instead of fudgy.
Cool completely. Remove the pan from the oven and let the brownies cool completely in the pan on a wire rack. This takes about 1-2 hours. As they cool, the lemon flavor will intensify.
Mix the glaze. While the brownies cool, make the glaze. In a medium bowl, whisk together 1 cup (120 g) powdered sugar, 3 tablespoons (45 g) fresh lemon juice, and 1 teaspoon (2 g) lemon zest. Whisk until completely smooth with no lumps. The glaze will be thin and pourable.
Glaze the brownies. Once the brownies are completely cool, pour the glaze evenly over the top. Use a spatula to spread it to the edges. Let the glaze set for at least 30 minutes at room temperature (or 15 minutes in the refrigerator if you're in a hurry).
Slice and serve. Use the parchment paper overhang to lift the brownies out of the pan. Cut into 16 equal squares using a sharp knife, wiping the knife clean between cuts for neat edges. Serve and enjoy.