01 - Preheat oven to 350°F. Line two baking sheets with parchment paper.
02 - In a large bowl, beat the softened butter, granulated sugar, and brown sugar until light and fluffy, about 2 minutes.
03 - Mix 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 the wet mixture, mixing just until combined.
05 - Gently fold in the blueberries with a spatula, being careful not to break them.
06 - In a small bowl, combine cream cheese, granulated sugar, and vanilla extract until smooth.
07 - Scoop about 1 1/2 tablespoons of dough and flatten in your hand. Place 1 teaspoon of cheesecake filling in the center, then wrap the dough around and seal completely. Repeat with remaining dough and filling.
08 - Place cookies 2 inches apart on the prepared baking sheets.
09 - Bake for 11 to 13 minutes, until edges are lightly golden and centers appear 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 form a thick glaze. Drizzle over the cooled cookies.