Place strawberries in a large bowl and sprinkle sugar over them. Mix well. Let sit for 20 minutes.
Place strawberries in a medium sauce pot and add 1/2 cup of water and place over medium eat. Simmer softly for 5 minutes. Let mixture cool to room temperature.
Once the mixture is cool, place in a blender, add lemon juice, coconut milk, and process to desired consistency. Your paletas can be chunky or smooth.
Pour into your molds, snap on the lids, and freeze for at least 5 hours.