In a medium saucepan, combine the sugar and water. Heat over medium heat, stirring until the sugar is completely dissolved. Remove from heat and let cool to room temperature.
In a blender or food processor, add the chopped peaches, lemon juice, vanilla extract, and a pinch of salt. Blend until smooth.
Pour the cooled sugar syrup into the peach puree and blend until well combined.
Transfer the mixture to a shallow dish and place it in the freezer. Every 30 minutes, stir the mixture with a fork to break up any ice crystals. Repeat this process for about 2-3 hours, or until the sorbet is firm and fluffy.
Once ready, scoop the sorbet into bowls and serve immediately. If it becomes too hard, let it sit at room temperature for a few minutes before scooping.