Place the grapes, cucumber, mint, lemon juice, and water in a blender and blend until smooth.
Place a nut milk bag over a large bowl and pour the pureed drink into the bag. squeeze as much of the juice out as possible and discard the pulp.
Chill the cucumber grape lemon refresher for at least an hour before serving.
Fill a pitcher with ice and pour in the cucumber grape lemon refresher in, then serve!
Garnish with fresh mint leaves and enjoy.