In 12 inch skillet, heat 3 tablespoons of the oil over medium high heat. Cook beef in oil in batches, 1 to 3 minutes per side, until cooked through. Using tongs, transfer to plate.
Add remaining 2 tablespoons oil to skillet; add broccoli and onion, and cook 3 to 5 minutes over medium high heat, until vegetables soften.
Add broth, brown sugar, chili garlic sauce and ginger to skillet; heat to simmering.
Meanwhile, in a small bowl, beat soy sauce and cornstarch with fork. Stir cornstarch mixture and beef into mixture in skillet. Return to simmering, and cook