01 - Preheat oven to 350°F. Line two baking sheets with parchment paper.
02 - In a large bowl, cream the softened butter, granulated sugar, and brown sugar until light and fluffy (about 2 minutes).
03 - Beat in the egg, lemon zest, lemon juice, and vanilla extract until just combined.
04 - In a separate bowl, whisk together flour, baking soda, and salt. Gradually add to wet ingredients, mixing just until combined.
05 - Gently fold in the blueberries with a spatula, being careful not to break them up too much.
06 - In a small bowl, combine cream cheese, granulated sugar, and vanilla extract until smooth.
07 - Scoop about 1 1/2 tablespoons of cookie dough and flatten it in your hand. Add 1 teaspoon of cheesecake filling to the center, then wrap the dough around the filling and seal. Repeat with remaining dough and filling.
08 - Place cookies 2 inches apart on prepared baking sheets.
09 - Bake for 11-13 minutes, or until the edges are lightly golden but centers look just set. Cool on the baking sheet for 5 minutes, then transfer to a wire rack to cool completely.
10 - Mix powdered sugar and lemon juice to make a thick glaze. Drizzle over cooled cookies.