In a blender or food processor, combine either frozen peach slices or peeled, fresh peach slices with granulated sugar, cold water, and a splash of lemon juice. Blend until smooth, approximately 1-2 minutes.

Pour the smooth peach mixture into a freezer-safe metal loaf pan or a similar container. Cover tightly to prevent freezer burn.

Place the container in the freezer for at least 4 hours, or until the sorbet is firm to the touch.

Before serving, allow the sorbet to thaw at room temperature for about 5 minutes for easier scooping.

Use a sturdy ice cream scoop to serve the sorbet into bowls, garnishing with fresh fruit slices or mint sprigs if desired.