Combine the strawberries and sugar in a small bowl. Let sit about 20 minutes, stirring occasionally. The fruit will soften and become syrupy.

Pour the strawberries and syrup into a food processor or blender. Add the lemon juice and pulse a few times until the fruit is pureed.

Stir the yogurt into the strawberry mixture until combined. Pour into molds and freeze for at least 8 hours or overnight. To remove, run hot water over the outside of the mold until you can gently pull the popsicle out.