Heat oven to 425 degrees. Spray 12-cup muffin tin with vegetable oil spray or use liners.
Bring 1 cup blueberries and 1 teaspoon of sugar to a simmer in small saucepan over medium heat.
Cook, smashing berries with spoon several times and stirring frequently until berries have broken down and mixture is thickened, about 5-6 minutes.
Transfer to a small bowl and allow to cool.
Whisk the flour,baking powder and salt together in a large bowl.
Whisk remaining 1 ⅛ cups of sugar and eggs together until combined do this for about a minute.
Slowly whisk in butter, and oil until combined. Whisk in buttermilk and vanilla until combined.
Fold egg mixture and remaining 1 cup blueberries into flour and mix until moistened.
Batter will be lumpy and that's okay.
Using an ice cream scoop or large spoon, divide batter evenly among the muffin cups.
Spoon 1 teaspoon of the cooked berry mixture onto the batter.
Using a skewer or knife, swirl the berry mixture into the batter making a figure-eight motion.
Sprinkle lemon-sugar evenly over muffins.
Bake until golden brown and toothpick inserted into the center comes out clean.
Abut 17-19 minutes and rotate halfway through baking.
Let muffins cool in pan and then transfer to wire rack.