Preheat the oven to 350°F (175°C). Line a 9x13-inch baking pan with parchment paper, leaving an overhang on the sides.
In a medium bowl, whisk together the flour and salt. Set aside.
In a large bowl, beat the softened butter and granulated sugar until light and fluffy. Add the eggs one at a time, mixing well after each addition. Stir in the lemon zest.
Gradually add the flour mixture to the wet ingredients, mixing just until combined. Press the dough evenly into the prepared pan.
Bake the crust for 18–20 minutes, or until lightly golden. Remove from the oven and let cool slightly.
In a separate bowl, whisk together the remaining 1 cup of sugar, eggs, lemon zest, and lemon juice. Pour the filling over the warm crust.
Return the pan to the oven and bake for an additional 15–18 minutes, or until the filling is set and no longer jiggly.
Allow the bars to cool completely in the pan on a wire rack, then refrigerate for at least 1 hour before cutting into squares.
Dust the top of the bars generously with powdered sugar before serving.
Notes
For best results, use fresh lemons and allow the bars to chill thoroughly before slicing.