Preheat your oven to 350°F (175°C). In a medium bowl, mix together 1 cup of gluten free flour and 1/2 cup of granulated sugar. Add the cold, cut-up salted butter and use your fingers or a pastry cutter to blend until the mixture resembles coarse crumbs. Add 2 tablespoons of water and mix until the dough comes together. Press the dough into the bottom of a greased 9x9 inch baking pan, ensuring an even layer.
Place the pan in the preheated oven and bake for 15-20 minutes until lightly golden. Keep an eye on it to prevent over-browning.
While the crust is baking, whisk together 1 cup of granulated sugar, 1/2 cup of lemon juice, 2 tablespoons of lemon zest, and 4 lightly beaten eggs in a large bowl. Add 1/4 cup of gluten free flour and mix until smooth and well combined.
Once the crust is done, pour the lemon filling over the hot crust. Return the pan to the oven and bake for an additional 20-25 minutes, or until the filling is set and slightly firm to the touch.
Remove the bars from the oven and let them cool in the pan. Once cool, refrigerate for at least 2 hours to allow them to firm up. When ready to serve, dust with powdered sugar if desired, cut into squares, and enjoy!