Bring sugar and water to a boil over high heat just until the sugar dissolves. Stir in the basil, remove from heat, and cover to cool to room temperature. Strain the mixture to remove basil leaves. Puree the blueberries, lemon juice, and basil syrup in a blender or food processor. Strain and mash any solid pieces to make the mixture as smooth as possible. (Skip this step if you want your popsicles to have more texture.) Whisk in the vodka. Fill popsicle molds, leaving 1/4-inch at the top. If inserting wooden sticks into the popsicles, let the mixture freeze for about 45 minutes to an hour beforehand. Freeze for another hour or until fully frozen. This recipe is courtesy of Creative Culinary.