Preheat oven. Preheat the oven to 350°F and line an 8×8″ baking pan with parchment paper. Set aside.
Infuse zest into sugar. In a medium bowl, combine cane sugar and lemon zest. Massage the zest into the sugar with your fingers until fragrant.
Add wet ingredients. Add melted butter, egg, egg yolk, fresh lemon juice and vanilla extract to the lemon sugar. Whisk well to combine.
Mix dry ingredients. In a large bowl, whisk the flour, baking powder, and salt until combined.
Pour wet into dry. Fold the wet ingredients into the dry ingredients until just combined, making sure not to over mix.
Bake. Pour the lemon blondie batter into the prepared baking pan, spreading it into an even layer. Bake for 25-27 minutes (checking after 25 minutes). The edges and top should be light golden brown and crinkly, and a toothpick inserted into the middle comes out with a few wet crumbs (slightly undercooked, but not wet batter). It'll continue to cook as it cools.
Make glaze. In a small bowl, whisk the glaze ingredients until smooth.
Cool and glaze. Once cool, poor the lemon glaze on top. Once set, use a sharp knife to cut the lemon blondies into squares. Enjoy!