Slice beef into thin strips, about ⅛-inch thick, cutting against the grain at a slight angle. Add the meat to a medium bowl. Top with soy sauce, hoisin sauce, salt, and pepper. Toss to combine. Set in the refrigerator to marinate for 20-30 minutes.
When ready, heat a large nonstick pan (or a wok), over medium-high heat.
Once hot, add olive oil and swirl it around the bottom of the pan.
Add sliced beef and cook, stirring constantly, until mostly cooked through, about 2 minutes. Transfer the beef to a plate and tent to keep warm.
To the same pan, add garlic and cook for one minute. Add the carrots, red pepper, broccoli, snow peas, and green onions. Cook, stirring constantly until softened (3-5 minutes).
Add hot water and bring to a boil.
Once boiling, add the soy sauce and hoisin sauce, stirring to combine.
Add the beef and noodles back into the pan and gently toss to combine.
Serve immediately.