There is no sidekick in the sequence mentioned. There are 2 high hook kicks though.
You need good flexibility and mobility to be able to do this.
Bruce Lee closes the gap with a high hook kick to the head. The hook kick is done with about half commitment. This is to recover quickly and then bridge the gap by seeking attachment to his opponents outside guard. He then does his classic theatrical/demo drill which is the pak dar lap dar backfist attack. After that he does a series of approximately 2-3 chain punches and palm smashes to the solar plexus and chin. He then follows up with a push after completing the the punching combination to create space and kick the opponent out of distance. As he pushes them away, he launches forward with another forward head hook kick to waste no economical movement or reward. Joe Lewis said that Bruce Lee specifically liked to kick people when pushing them out of range because it was a "tactical oversight" that most traditional martial artists overlooked.
Also, do keep in mind, Joe Lewis did some trapping with Bruce Lee. However Joe Lewis admitted that he wasn't too much a fan of it (trapping). This is because Bruce Lee only taught him very small basics of HIA. Joe Lewis being a legendary fighting doesn't like much JKD trapping, even the ones he learned from Bruce Lee, but don't let Joe Lewis' opinion about it ruin your opportunity to learn it for yourself.