Preheat oven to 180℃. Let the butter soften at room temperature. In a pot, combine the water, lemon juice, and the 2 ⅔ cups of sugar. Boil until the sugar has dissolved. Add in the butter and stir gently. Set aside to cool
In a bowl, combine the flour, semolina, and the baking powder.
In a separate bowl, add the eggs and 1¼ cups of sugar. Place the bowl on your stand mixer and beat until the mixture is light and fluffy.
Slowly pour in the flour mixture, and continue to beat.
Add the vanilla extract and the lemon zest.
Gradually pour in the milk and continue beating until well combined.
Grease the baking pan with butter.
Pour the mixture into the baking pan. Bake until the top turns golden brown, then check the cake with a cake tester or toothpick to see if it comes out clean.
Remove the cake from the oven and slowly pour the sugar syrup over it. Let it sit until the syrup is fully absorbed.
Garnish with lemon zest and serve with your favorite ice cream. (that's what I do :)