Preheat your oven to 350°F (175°C) and grease a 9x13 inch baking pan.
In a large bowl, cream together the butter and sugar until light and fluffy.
Add the eggs one at a time, beating well after each addition.
Mix in the buttermilk, lemon juice, and lemon zest until combined.
In another bowl, whisk together the flour, baking powder, baking soda, and salt. Gradually add the dry ingredients to the wet mixture, mixing just until combined.
Fold in the chopped strawberries gently.
Pour the batter into the prepared pan and bake for 30-35 minutes, or until a toothpick inserted in the center comes out clean.
Let the cake cool in the pan for about 10 minutes before transferring to a wire rack.
For the glaze, mix the powdered sugar and lemon juice until smooth, then drizzle over the cooled cake.