In a small saucepan, bring 1 cup of water to a boil and whisk in honey until dissolved. Set aside to cool slightly. Then add blueberries, lemon juice, and 1 cup of water to a blender and puree.
Stir together the blueberry puree, honey mixture, and remaining 3-4 cups water. Taste, and if you desire additional sweetness, combine additional tablespoons of sugar to taste. If you choose, strain through a fine mesh sieve to discard solids.