01 - Preheat the oven to 350°F. Line a 12-cup muffin tin with cupcake liners.
02 - In a medium bowl, whisk together the flour, baking powder, baking soda, and salt. Set aside.
03 - In a large bowl, beat the softened butter and sugar with an electric mixer until light and fluffy, about 2 to 3 minutes.
04 - Add the eggs one at a time, beating well after each addition. Stir in the lemon zest, lemon juice, and vanilla extract.
05 - Alternately add the dry ingredients and the milk to the butter mixture, beginning and ending with the dry ingredients. Mix until just combined; do not overmix.
06 - Divide the batter evenly among the cupcake liners, filling each about three-quarters full.
07 - Bake for 16 to 18 minutes, or until a toothpick inserted into the center comes out clean. Let cool in the tin for 5 minutes, then transfer to a wire rack to cool completely.
08 - Beat the softened butter until creamy. Gradually add the sifted powdered sugar on low speed. Mix in the strawberry puree, vanilla extract, and a pinch of salt. Increase the speed and beat until light and fluffy, scraping down the sides of the bowl as needed.
09 - Frost the completely cooled cupcakes with the strawberry frosting. Garnish with halved fresh strawberries and a sprinkle of lemon zest if desired.