In a small saucepan, over medium-low heat, cook blueberries w/sugar and 1/4 cup water until berries begin to break down and sugar completely dissolves.
In a separate bowl, combine 1 tablespoon cornstarch with 1 tablespoon water. Pour into saucepan. Stir until blueberry mixture thickens. Remove from heat; let cool.
Place gf vanilla ice cream in dessert bowls. Top with strawberries. Drizzle each dish with blueberry sauce. Serve immediately.