In a medium saucepan over medium heat, combine the water, sugar and lemon juice. Cook while stirring until the sugar is completely dissolved.
Carefully pour the liquid into the blender. (If using a glass blender pitcher, cool the liquid slightly prior to pouring to avoid a temperature shock to the glass.)
Place the peaches in the blender over the liquid.
Cover the blender and process until the peaches are completely smooth.
Allow the mixture to cool completely.
Transfer the peach mixture to the bowl of an electric ice cream maker. Make the sorbet according to the manufacturer's directions.
When the sorbet consistency is reached, move the sorbet from the ice cream maker’s bowl to an airtight freezer container.
Freeze until firm (several hours).
If the sorbet is too icy to scoop, allow to rest on the counter for 5 minutes prior to serving.