Prepare and cool a 9-inch pie crust completely before filling.
In a saucepan, whisk together the sugar and cornstarch. Add the water and salt, then cook over medium heat, stirring constantly, until the mixture thickens and becomes clear, about 5 to 7 minutes.
Remove from the heat and stir in the lemon juice. Let the glaze cool for about 10 minutes, until slightly warm but not hot.
Arrange half of the strawberries in the cooled crust. Spoon the glaze over them, then top with the remaining strawberries, pressing them gently into place.
Chill the pie for at least 2 hours, or until set. Slice and serve with whipped cream if desired.