Creating this Low-Carb Beef and Broccoli Stir-Fry is as easy as following these simple steps:

1. Heat olive oil in a large pan over medium-high heat.
   Begin by heating the olive oil in a large skillet or wok. The medium-high heat will help to quickly cook the ingredients, preserving their flavors and textures.
2. Add garlic and ginger; sauté for 1 minute until fragrant.
   Add the minced garlic and grated ginger to the hot oil. Sauté them for about a minute until they release their delicious aroma, infusing the oil with their flavors.
3. Increase heat to high, add beef slices, and stir-fry until browned (about 3-4 minutes).
   Turn the heat to high and add the thinly sliced beef to the pan. Stir-fry the beef until it is browned on the outside, which should take approximately 3 to 4 minutes.
4. Add broccoli and soy sauce; stir-fry for an additional 3 minutes until broccoli is tender-crisp.
   Incorporate the broccoli florets and soy sauce into the pan with the beef. Continue to stir-fry for another 3 minutes, ensuring the broccoli is tender yet still crisp.
5. Season with salt and pepper.
   Season the stir-fry with salt and pepper according to your taste. Adjust the seasoning as needed to achieve the perfect balance of flavors.
6. Serve hot, garnished with sesame seeds if desired.
   Serve the stir-fry hot, garnished with sesame seeds for an extra touch of flavor and visual appeal.