To make the blueberry BBQ sauce combine all ingredients in a small saucepan over medium high heat. Bring to a boil stirring frequently.
Boil for 3 minutes or until the blueberries begin to burst. Reduce heat to medium and cook for 5 minutes.
Pour the sauce through a fine mesh sieve and save the sauce. Discard the solids.
To make the aioli whisk together all ingredients and place in the refrigerator until ready to use.
To make the burgers heat a grill to medium high heat. Combine the ground beef, garlic, pepper, and salt. Form in to 4 patties.
Grill for 5 minutes per side or until cooked to your preferred doneness. Top with the Brie cheese and close the lid for 1 minute to melt the cheese. Remove from the grill.
Spread a tablespoon of the aioli on the bottom of a bun and top with the burger. Place a tablespoon of BBQ sauce on top and then a piece of lettuce. Top with the bun. Enjoy!