Begin by rinsing 1 cup of jasmine rice under cold water until the water runs clear. Combine rinsed rice with 1 ½ cups water and a pinch of salt in a medium saucepan. Bring to a boil, reduce heat to low, cover and simmer for 15 minutes. Remove from heat and steam covered for 10 minutes. Fluff with a fork before serving.
While the rice cooks, slice the flank steak thinly against the grain. Set aside.
In a small bowl, whisk together honey, soy sauce, minced garlic, and minced ginger to make the honey garlic sauce.
Heat 1 tablespoon vegetable oil in a skillet or wok over medium-high heat. Stir-fry broccoli florets for 3-4 minutes until bright green and tender-crisp. Remove broccoli and set aside.
Add remaining tablespoon of vegetable oil to the hot pan. Add sliced beef in a single layer and sear undisturbed for 1-2 minutes. Stir-fry beef for 3-4 minutes until mostly cooked, seasoning with salt and pepper.
Return broccoli to the pan with the beef. Pour honey garlic sauce over and toss to combine. Cook for 2-3 minutes until sauce thickens and coats beef and broccoli.
Remove from heat and garnish with sesame seeds and chopped green onions if desired. Serve hot over jasmine rice.