This documentary was made to celebrate the Golden 50th Anniversary of the James Bond film series as well as being a promotional tie-in for the James Bond film Skyfall (2012).
In an interview, Cubby Broccoli suggests that the vegetable "brocolli" was named after his family. There is no direct connection between his family and the vegetable, although he frequently claimed one.
Nothing here that I didn't already know. The information is already out there in countless books and other documentaries. Because it's an official documentary, views are very sanitized. Dull.