01 - Combine the sugar and water in a small saucepan. Heat over medium, stirring, until the sugar is fully dissolved. Remove from heat and add the mint leaves. Let steep for 10 minutes, then strain out the mint and discard the leaves. Cool the syrup completely.
02 - In a blender or food processor, combine strawberries, lemon zest, lemon juice, and the cooled mint syrup. Blend until completely smooth.
03 - Taste the purée and adjust sweetness or lemon juice as desired.
04 - Pour the mixture into an ice cream maker and churn according to the manufacturer's instructions until it reaches a sorbet consistency (about 20–25 minutes).
05 - If you don't have an ice cream maker, pour the mixture into a shallow dish and freeze, stirring vigorously every 30–45 minutes, until smooth and scoopable (about 4–6 hours).
06 - Transfer the sorbet to a lidded container and freeze until firm, at least 2 hours.
07 - Scoop into bowls or cones, garnish with fresh mint leaves, and serve.