Heat 1 more tablespoon oil in the skillet. Add 1/2 chopped onion, 1 1/2 cups chopped broccoli and 1 teaspoon each sugar and kosher salt; cook, stirring, 3 minutes. Add 2 small chicken breasts, cubed; stir-fry 5 minutes. Add 3 cups cooked rice and the eggs; stir until hot.