Combine granulated sugar and 1 cup of water in a saucepan over medium heat until the sugar dissolves. Let it cool completely.

Blanch whole peaches in boiling water for 30 seconds, then immediately transfer them to an ice bath for easy peeling. After peeling, dice and blend the peaches into a smooth puree.

In a large pitcher, combine the peach puree, fresh lemon juice, simple syrup, and remaining water. Stir well to combine. For serving, pour the peach lemonade into glasses and top with sparkling water for a delightful fizz. Garnish with fresh mint leaves and a slice of peach.

For an extra kick, add fresh grated ginger to the simple syrup while it's still warm to infuse the flavor. Strain the simple syrup through a fine-mesh sieve before adding it to the lemonade mixture.