Slice beef into long, thin strips and place in a small bowl with oil, fresh cilantro, minced garlic, and sea salt and pepper to taste. Let marinate for at least an hour, or overnight. (covered, refrigerated).
Let beef come to room temp on the counter while prepping broccoli.
Bring a medium pot of water to a boil. Add broccoli and blanch for 2 minutes, then drain and season with sea salt and pepper. Set aside.
Heat a large skillet over high heat. Add the marinated beef strips and stir-fry until cooked through, about 4-5 minutes.
Add broccoli and chili pepper slices and stir-fry for about 5 more minutes, until broccoli is tender-crisp.