Combine the blueberries and 1/2 cup of sugar in a small mixing bowl. Set aside.
Preheat the oven to 375 degrees F. Lightly grease an 8-inch x 8-inch baking dish with butter or non-stick cooking spray. Set aside.
In a large mixing bowl, beat the butter and remaining 1/2 cup of sugar together until fluffy and pale, about 1 minute.
In a medium mixing bowl, stir flour, baking powder, and salt together. Add the dry ingredients to the sweetened butter and mix to combine. Pour in the milk and mix until a thick batter forms.
Spread the cobbler batter in an even layer in the bottom of the prepared baking dish. Spread the blueberries and sugar over the batter.
Bake for 40-45 minutes or until the crust is golden brown. Remove from the oven and allow the cobbler to cool for 15 minutes
Serve warm as is or topped with a scoop of vanilla ice cream.