Heat a frying pan over medium-high heat. Add butter and melt. Add slices of cake and brown, lightly - about 2 minutes per side. Using an electric mixer, mix cream cheese and 2 tablespoons of sugar together. Spread cream cheese mixture on one side of cake. Arrange the sliced strawberries over the cake. Sprinkle with remaining sugar and broil until sugar caramelizes - about 2 minutes. Serve with strawberry or vanilla ice cream or whipped cream.