Prepare the Beef and Broccoli. Slice the beef into thin strips and toss with olive oil, minced garlic, grated ginger, salt, and pepper. In a hot wok or skillet, stir-fry the beef until browned (3-5 minutes). Add the broccoli and cook for an additional 3-5 minutes, until it's vibrant green and slightly crisp.
Create the Stir-Fry Sauce. In a bowl, mix soy sauce, sesame oil, and xanthan gum (if using). Pour the sauce over the beef and broccoli, tossing until everything is well coated and the sauce has thickened slightly.
Serve and Enjoy. Plate it over cauliflower rice or your favorite low-carb alternative. Garnish with sesame seeds and chopped green onions for a burst of freshness.