If your rice or grain isn’t cooked, cook it!
Heat your grill on high for at least 15 minutes, then turn to medium-high heat.
Pat the salmon dry with a paper towel. Drizzle 1 tablespoon oil and sprinkle 1 teaspoon salt and pepper onto the salmon, then use your hands to rub it all around the flesh. Drizzle remaining 1 tablespoon oil and sprinkle remaining ½ teaspoon salt all over the broccolini and rub it all over (make sure to rub/massage the oil into the heads).
Place the salmon on one side of the grill (skin-side-down) and broccolini on the other. Grill, covered, for 4-6 minutes or until the salmon is almost all the way cooked through and broccolini is beginning to char.
Flip the salmon and turn/rotate to broccolini and let cook for 1-2 more minutes or until salmon is cooked through and broccolini is tender and lightly charred.
Transfer the broccolini and salmon to a cutting board and chop the broccolini into bite-sized pieces. If your salmon skin is very burnt, you can peel it off.
In a high-speed blender, add all of the sauce ingredients and blend on high until smooth.
Serve the salmon and broccolini over a bed of warm rice/grains. Add the cucumber and top with the sauce, cilantro, sesame seeds (if using), and squeeze lemon generously all over.