To a small saucepan, add the lemon juice, sugar, and heat over medium-high heat for about 2 minutes, stirring constantly to dissolve the sugar. This is your lemon simple syrup.
To the canister of a high-speed blonder, add the lemon simple syrup, the thick and fatty part of the coconut milk (read blog post for discussion on this), ice, and blend on high until whipped and frothy. If you want it thicker, add additional ice cubes to taste.
Optionally garnish with lemon wedges or slices and serve immediately.
