Preheat oven to 350ºF. In a medium mixing bowl, combine the sugar, buttermilk, oil, egg, lemon zest, and vanilla extract. In a separate bowl, combine the flour, baking powder, baking soda, and salt.
Combine the wet and dry ingredients together until just combined, then fold the strawberries into the batter.
Bake for 60 minutes in a prepared loaf pan. Allow it to cool completely before removing it from the pan.
For the strawberry glaze, combine the powdered sugar, melted butter, lemon juice, and milk in a small bowl and mix together until no lumps remain.
Dice 1 cup of strawberries and stir into the glaze.
Pour glaze over the cooled pound cake then slice and garnish with remaining strawberries.