Rice - (Skip if rice was made ahead for Monday.) For white rice, rinse until clear. Fill a saucepan or Dutch oven (or rice cooker) with rice, water (use 2:1 ratio for water to rice), and some salt. Cover with lid and bring to a boil. Once water boils, stir, lower heat to a low-medium, and cover. Check white rice after ~20 min; brown at ~45 min. Rice is done when it's absorbed all the water. If it's not done, leave the cover on until all water has been absorbed. Take cover off to release steam and fluff with a wooden spoon after 5 minutes. (Can be done up to 5 days ahead)
Heat a wok or saute pan over medium-high heat. Add first part of oil and then broccoli to heated oil. Saute broccoli until it turns bright green. Add soy sauce and then cover with a lid. Steam broccoli, covered, until tender, 4 to 5 minutes. Remove lid and add garlic to broccoli. Saute together for 2 minutes more.
Set broccoli aside.
Wipe pan clean and return to medium-high heat. Add second part of oil and then shrimp to heated oil. Using tongs, arrange shrimp in a single layer so they cook more evenly. Cook 3 to 4 minutes on each side, until shrimp is golden.
Remove from heat and toss shrimp with sauce, walnuts, and cilantro.