In a small saucepan over medium high heat, bring the sugar and 2/3 c. water to a boil. Once the sugar is dissolved, remove from the heat and add the basil leaves. Stir and allow to cool to room temp. When the simple syrup has cooled, strain out the basil leaves.

Meanwhile, blend the lemon juice and cucumber in a blender until totally pureed. Strain the mixture to remove any pulp.