Start by rinsing the rice under cold water until the water runs clear. In a medium pot, add 1 cup of rice and 2 cups of water. Bring to a boil, then reduce the heat to low, cover, and simmer for 15-18 minutes, or until the water is absorbed and the rice is tender. Remove from heat and let it sit, covered, for about 5 minutes before fluffing with a fork.
In the same skillet, add another tablespoon of sesame oil over low heat. Add the broccoli florets and cook for 5-6 minutes, stirring occasionally, until the broccoli is bright green and just tender. You can add a splash of water if the broccoli needs a little steam to soften up without browning.
Slice the steak into thin strips, about ¼ inch thick, for quick and even cooking. Heat 1 tablespoon of sesame oil in a large skillet over medium-high heat. Add the steak, season with salt and pepper, and cook for 2-3 minutes per side until browned. Remove the steak and set it aside.
Add the cooked steak back into the skillet with the broccoli. Stir to combine and let the flavors mingle.
In a small bowl, whisk together the soy sauce or tamari, honey, minced garlic, and grated ginger.
Pour the sauce mixture over the steak and broccoli in the skillet. Stir everything together and let it cook for 2-3 minutes, allowing the sauce to slightly thicken and coat the steak and broccoli evenly.
Spoon the fluffy rice into bowls and top with generous portions of the broccoli beef. Sprinkle with green onions for an extra pop of flavor and color, and enjoy!