01 - Preheat oven to 350°F. Grease and flour an 8-inch round cake pan, ensuring complete coverage to prevent sticking.
02 - Whisk together flour, baking powder, and salt in a medium bowl until thoroughly blended. Set aside for later use.
03 - Beat softened butter and granulated sugar in a large bowl until light and fluffy, approximately 3-4 minutes. Add eggs one at a time, incorporating fully after each addition. Blend in chopped lavender and vanilla extract.
04 - Alternate adding the flour mixture and milk to the butter mixture, beginning and ending with the dry ingredients. Mix gently until just combined, being careful not to overmix.
05 - Pour batter into the prepared pan and smooth the top evenly. Bake for 25-30 minutes or until a wooden toothpick inserted into the center emerges clean.
06 - While the cake bakes, combine water, sugar, and lavender buds in a small saucepan. Simmer for 3 minutes, then strain through a fine-mesh sieve. Set aside to cool slightly.
07 - Allow the cake to rest in the pan for 10 minutes. If using the syrup, poke small holes across the surface with a skewer and gently brush with the warm lavender syrup. Let cool completely before glazing.
08 - Whisk together powdered sugar, lemon juice, and finely chopped lavender until smooth and pourable. The consistency should ribbon off the whisk.
09 - Drizzle the glaze evenly over the completely cooled cake. Allow the glaze to set for 15-20 minutes before slicing and serving.