01 - Rinse jasmine rice under cold running water until it runs clear. Drain thoroughly to remove excess starch.
02 - Heat vegetable oil in a medium saucepan over medium heat. Add minced garlic and grated ginger, sautéing for 1 minute while stirring constantly until fragrant.
03 - Add the rinsed rice to the saucepan and stir to coat evenly with the aromatics for 1 minute. Pour in water and salt, bring to a boil, then reduce heat to low. Cover tightly and simmer for 15 minutes. Remove from heat and let rest, covered, for 5 minutes undisturbed.
04 - While the rice rests, preheat a large skillet or grill pan over medium-high heat until it begins to smoke lightly.
05 - Toss broccoli florets with olive oil, salt, and black pepper until evenly coated. Arrange in a single layer in the hot pan without overcrowding. Cook for 7 to 8 minutes, turning occasionally, until the florets develop deep char marks and reach crisp-tender texture.
06 - Uncover the saucepan and gently fluff the rice with a fork to separate the grains and release steam.
07 - Divide the garlic ginger rice among serving bowls. Top generously with charred broccoli, scatter sliced green onions and toasted sesame seeds over each portion. Drizzle with soy sauce or tamari and serve alongside lime wedges if desired.