Wash and hull the strawberries, then cut them into halves.
In a small saucepan, combine sugar and water. Heat gently until the sugar dissolves completely, creating a simple syrup. Let it cool.
Place strawberries in a blender or food processor and blend until smooth.
Add the cooled sugar syrup, lemon juice, lemon zest, and a pinch of salt to the strawberry puree.
Blend again until fully combined and smooth.
Pour the mixture into a bowl and refrigerate for about 2 hours until well chilled.
Transfer the mixture to an ice cream maker and churn according to manufacturer instructions.
If you don’t have an ice cream maker, pour the mixture into a shallow container and freeze, stirring every 30 minutes until smooth and frozen.
Once firm, scoop and serve immediately or store in the freezer.