We tested 2 methods: Blanching then Grilling - Grilling w/o Blanching. Everyone preferred the former, but if you like a firmer broccoli, then grilling without blanching is great way to go.
Grill Baskets - Some days we just don't want to bother with carefully managing every single slab of broccoli . Throw them all into a grill basket and grill from there. Easy-peasy.
*Optional - see head note: In large pot of boiling water, quickly blanche the cut broccoli for about 1 minute. Drain the broccoli and rinse with cold water to keep the broccoli from cooking further. Blot broccoli with paper towels to remove excess moisture.