Cut off about an inch off the bottom of the trunk of the broccoli. If it's hollow or woody keep cutting until you get to the tender part.
Remove any leaves and using a vegetable peeler, peel away the tough outer skin.
Cut the trunk into 1/2" pieces.
Cut off florets into 1 1/2" pieces.
Bring a large pot of water (with the salt added) to a rapid boil.
Remove the broccoli with a slotted spoon and immediately plunge it into the ice water.