Preheat the oven to 375 degrees. Line the bottom of a 10X15-inch jelly rool 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 mins. 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 comes out clean, 15 mins.
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