Get out a steamer basket and a pot that it fits into. Add the broccoli to the basket and set aside. Add 4 inches of water to the pot and set over high heat. Bring to a boil.
When boiling, reduce heat to medium-high and add the steamer basket with the broccoli. Cover.
Cook for 8-10 minutes, or until the broccoli is soft when poked with a fork. Remove from heat.
Once cooled, you can brush lightly with olive oil (or leave plain) and serve BLW-style.
To make Broccoli Puree: Transfer the broccoli to a blender with the olive oil. Add 1/2 cup liquid and blend, starting on low and working up to high. Add additional liquid as needed to make a smooth puree.
If serving BLW-style, be sure to use florets that are large so they are too big for baby to completely stuff into their mouths. If a piece gets eaten down and is smaller, trade it out for a larger piece.
To make with frozen broccoli, reduce the cooking time to 6-8 minutes in Step 4.