Preheat your oven to 350°F (175°C). Grease and flour an 8-inch round cake pan.
In a large bowl, beat together the butter and sugar until light and fluffy. Add the eggs, one at a time, mixing well after each addition.
Add the flour, baking powder, and salt, alternating with the milk. Mix in the lemon juice and lemon zest until just combined.
Pour the batter into the prepared cake pan and bake for 40-45 minutes, or until a toothpick inserted into the center comes out clean.
Allow the cake to cool in the pan for 10 minutes, then turn out onto a wire rack to cool completely.
To make the glaze, whisk together the powdered sugar and lemon juice until smooth.
Once the cake is completely cooled, drizzle the lemon glaze over the top. Serve and enjoy!