Begin by placing the hulled and halved strawberries into a blender or food processor. Add the granulated sugar and blend the mixture until it reaches a smooth consistency. Once blended, set the strawberry puree aside and let it macerate for approximately 10 minutes.
In a medium-sized saucepan, combine the water, freshly squeezed lemon juice, lemon zest, and agave syrup (if you choose to add it). Heat the mixture gently over medium heat, stirring occasionally, until the sugar has completely dissolved. Remove the pan from heat and allow it to cool slightly.
Once the lemon mixture has cooled, pour the strawberry puree into it. Stir the two mixtures together thoroughly until well combined.
Pour the combined mixture into a shallow container or freezer-safe dish. Cover with a lid or plastic wrap and place it in the freezer.
After approximately one hour, remove the container from the freezer and use a fork to stir the mixture. Return the container to the freezer and repeat this stirring process every 30 minutes for a total time of about 2-3 hours.
Once the sorbet has reached your desired consistency, it's ready to serve! Scoop generous portions into bowls or cones.
Notes
For an elegant touch, serve the sorbet in pre-chilled bowls and garnish with fresh mint and lemon slices.