Blend the fresh sliced peaches or frozen peach slices, granulated sugar, cold water, and lemon juice in a high-speed blender or food processor until smooth.

Pour the peach mixture into a freezer-safe container, sealing tightly to prevent ice crystals.

Freeze the mixture for at least 4 hours until solid.

Let the sorbet sit at room temperature for about 5 minutes before scooping.

Scoop into chilled bowls or cups and garnish with mint or peach slices before serving.