Pre heat oven to 350℉
Slice 1 lb strawberries and add to a medium bowl. Sprinkle with a tablespoon of sugar and set aside until ready to top the cake.
Mix 1 1/2 cups flour, 1 pinch kosher salt and 1 1/2 tsp baking powder in a small bowl.
Add 1/2 cup granulated sugar, 1/4 cup brown sugar and 6 tbsp butter to a medium sized bowl. Mix on medium speed until the sugar and butter become creamy, about 4-5 minutes.
Gradually add 1 large egg, 1/2 cup milk and the 1 tsp vanilla extract to the butter mixture. The mixture will look curdled, but this is ok.
Add the dry ingredients to the egg, butter mixture and beat on medium speed until the mixture is smooth and creamy. The batter will be quite thick.
Grease an 8" x 8" cake pan with butter and add the cake mixture. Smooth the surface with an offset spatula or knife.
Top the cake mixture with the sliced strawberries, cut side down. Do not overlap the berries on the cake.
Transfer cake to a preheated oven and set the timer for 10 minutes. After 10 minutes, reduce heat to 325℉ and bake for another 45 minutes, or until a tooth pick comes out clean when inserted in the middle of the cake.
Remove cake and allow it to come to room temperature before slicing.