1. Combine 1 cup sugar and 1 cup water in a 2-cup glass measure. Microwave at HIGH 3 to 5 minutes or until sugar dissolves and mixture boils; stir well. Cool completely. Cover and refrigerate simple syrup until thoroughly chilled.
2. Combine lemon juice and simple syrup in a 13 x 9inch baking dish. Cover and freeze at least 3 hours or until firm. Scrape frozen mixture with the tines of a fork.
3. Place strawberries and 1 teaspoon sugar in a medium bowl. Mash strawberry mixture slightly with a potato masher to release juice. Stir in mint. Cover and let stand at room temperature 30 minutes.
4. Spoon 1/2 cup lemon mixture into each of 7 bowls; top each serving with about 2 tablespoons strawberry mixture. Garnish with lemon zest, if desired.