Slice the beef thinly against the grain. Chop broccoli into florets and slice red and yellow bell peppers. Mince garlic and ginger.
In a small bowl, whisk together soy sauce, oyster sauce, hoisin sauce (if using), garlic, and ginger. Set aside.
Place a wok or large skillet over high heat and add 1 tablespoon of vegetable oil. Let it get hot.
Add the sliced beef to the pan and stir-fry for 2-3 minutes until browned but not fully cooked. Remove beef from the pan and set aside.
Add remaining 1 tablespoon of oil, then toss in broccoli and bell peppers. Stir-fry for 3-4 minutes until crisp-tender.
Return the beef to the pan and pour the prepared sauce over everything.
If you like a thicker sauce, stir in the cornstarch-water mixture and cook for 1-2 minutes until glossy.
Add salt and pepper if needed. Taste and adjust flavors as desired.
Plate the stir fry beef over steamed rice, noodles, or enjoy on its own for a quick and satisfying meal.
Sprinkle with sesame seeds or chopped green onions for added flavor and presentation.