Preheat your oven to 400°F (200°C). Line a baking sheet with parchment paper or a silicone mat to prevent sticking and make cleanup easier.
In a large mixing bowl, whisk together the all-purpose flour, granulated sugar, baking powder, and salt.
Add the cold, cubed unsalted butter to the dry ingredients. Using a pastry cutter, two forks, or your fingertips, cut the butter into the flour mixture until it resembles coarse crumbs.
In a small bowl, combine the milk, lemon zest, and lemon juice. Pour this liquid mixture into the flour and butter mixture. Stir gently with a spatula or wooden spoon until the dough just comes together.
Turn the dough out onto a lightly floured surface. Gently knead it a few times to bring it together. Pat the dough into a 7-inch circle about 3/4-inch thick. Using a sharp knife, cut the circle into 8 equal wedges and place them on the prepared baking sheet, spacing them slightly apart.
Bake the scones for 18-20 minutes or until they are golden brown on top. A toothpick inserted into the center should come out clean.
While the scones are baking, whisk together the powdered sugar and 2 tablespoons of fresh lemon juice in a small bowl until smooth and slightly thickened.
Once the scones have cooled slightly but are still warm, drizzle the lemon glaze over the top.