Preheat the oven to 375 degrees . Line the bottom of a 10-by-15-inch jelly-roll pan with parchment paper and grease the sides. Using an electric mixer, beat 1 cup sugar and the butter on medium speed until fluffy, about 5 minutes. Beat in the vanilla, then the eggs 1 at a time. Add the flour and milk alternately in 3 additions. Fold in 1 cup blueberries. Transfer to the prepared pan. Bake until a toothpick inserted into the center comes out clean, 15 minutes.
Meanwhile, in a bowl, combine the cream cheese and 1/4 cup sugar. Whisk in the lemon curd.
Sprinkle the cake with the remaining 1 tablespoon sugar. Place parchment paper and a cooling rack on the cake and invert the layer; let cool and transfer to a work surface. Cut crosswise into thirds. Place one-third onto a platter and top with one-third of the cream cheese mixture. Repeat with the remaining cake and cream cheese. Top with the remaining 1 cup blueberries.