In a medium bowl, combine strawberries and sugar. Mix until the sugar is just dissolved and the strawberries begin to release their juices. Cover the bowl and let it sit at room temperature for about an hour.
Combine the strawberries, including their liquid, water, and lemon juice in a blender and puree until smooth.
Pour the mixture through a strainer to eliminate any seeds.
Transfer mixture into an 8x8 or 9x9 dish, cover with foil, and place in freezer.
After about an hour, remove dish from freezer and begin chipping away at the edges of it with a fork to break it into smaller pieces. Place the dish back in the freezer. 30 minutes later, check again and continue to scrape with a fork. After about 2 hours, you should have it completely scraped.
Serve in bowls with strawberry garnish, if desired.