In a blender or food processor, combine the ripe peach slices, granulated sugar, cold water, and fresh lemon juice. Blend on high until the mixture achieves a smooth and creamy consistency, about 1-2 minutes.

Once your mixture is perfectly smooth, pour it into a metal loaf pan or a similar freezer-safe container. Cover with parchment paper or aluminum foil to prevent freezer burn.

Place the container in the freezer and allow the sorbet to freeze for at least 4 hours, or until it is solid.

Before serving, remove it from the freezer and let it sit at room temperature for about 5 minutes to soften.

Scoop the creamy peach sorbet into chilled bowls and garnish with fresh fruit slices or a sprig of mint.