Combine sugar, basil leaves, and 1 cup of water in a small sauce pan. Heat over high heat until syrup begins to boil and sugar is dissolved. Transfer simple syrup to a heat proof bowl and let cool to room temperature. Once cool, strain out basil leaves using a fine mesh sieve.
For the peach puree, begin by roughly chopping peaches. Add peaches and a splash of water into a blender or food processor. Puree until smooth. Strain puree through a fine mesh sieve using a spatula to work the puree through the strainer.
In a large pitcher, combine lemon juice, 2 cups of peach puree, 1 to 1½ cups of basil simple syrup (to taste) , and 2 cups of water. Stir well and pour over ice. Garnish with lemon slices and fresh sprigs of herbs!
Recipe by at https://www.adventuregathereat.com/peach-basil-lemonade/