Rinse the jasmine rice under cold water until the water runs clear to remove excess starch.
Combine 1 cup of jasmine rice with 2 cups of water in a medium saucepan. Bring to a boil, then reduce heat to low, cover, and simmer for 15 minutes.
Remove from heat and let it sit, covered, for an additional 10 minutes to steam. Fluff with a fork before serving.
While the rice cooks, steam the broccoli florets until just tender but still vibrant green, about 4-5 minutes. You can use a steamer basket over boiling water or microwave the florets in a covered bowl with a splash of water for 3 minutes. Set aside.
In a small bowl, whisk together 1/4 cup honey, 3 cloves minced garlic, and 2 tablespoons soy sauce to prepare the honey garlic sauce.
Heat 1 tablespoon olive oil in a non-stick skillet over medium-high heat. Pat the salmon fillets dry and season both sides generously with salt and pepper. Place the salmon skin-side down if it has skin.
Cook the salmon for 4-5 minutes per side, depending on thickness, until cooked through and flakes easily with a fork.
Reduce heat to medium-low and pour the honey garlic sauce over the salmon in the pan. Spoon the sauce continuously over the fillets, allowing it to thicken and caramelize slightly, about 2-3 minutes.
Divide the jasmine rice evenly among four bowls. Top with steamed broccoli and a glazed salmon fillet.
Sprinkle sesame seeds and chopped green onions over the top to add texture and freshness before serving.