01 - Preheat oven to 350°F. Line an 8-inch square baking pan with parchment paper.
02 - In a large bowl, beat sugar and softened butter together until light and fluffy.
03 - Add eggs one at a time, mixing thoroughly after each addition. Stir in lemon zest and juice.
04 - Whisk together flour, baking powder, and salt in a separate bowl.
05 - Alternately add dry ingredients and milk to the wet mixture, starting and ending with dry ingredients. Stir until just combined.
06 - Pour batter into prepared pan and smooth the surface evenly.
07 - Bake in preheated oven for 30 to 35 minutes or until a toothpick inserted in the center comes out clean.
08 - Allow cake to cool in the pan for 10 minutes; then transfer to a wire rack to cool completely.
09 - Whisk powdered sugar and lemon juice together until smooth and pourable. Drizzle over cooled cake.
10 - Once glaze is set, cut cake into 8 slices and serve.