How should I understand 又拜 in this sentence about Bruce Lee?
又 from collins


  
  (= 另外) another
  ⇒ 家里又买了一个书架。 (Jiā li yòu mǎile yī gè shūjià.) They bought another set of bookshelves for their home.
  ⇒ 老师又布置了几项作业。 (Lǎoshī yòu bùzhìle jǐ xiàng zuòyè.) The teacher set several more questions for homework.
  


又 is not "again" here.



拜师 is a set phrase, yabla gives its definition as: "to formally become an apprentice to a master".

You can put the Name of the name into the phrase, and it become 拜...为师.

The pattern you gave ("拜 + person + 为 + role") is mostly correct, but I currently cannot think of anything other than "师" that can take the "role" part. I think it is better to take the pattern as "拜 + person + 为师".

The activity of "拜师" is usually formal, and it usually involves some kind of ceremony. The phrase "拜师" is not that formal, it can be used casual speech.

Usually we don't have many chances to talk about it in everyday life. Nowadays, most people won't have a chance to be involved in such an activity during the whole life. Finding a teacher in school or finding a coach in a sport would not be called "拜师". In the areas of (Chinese traditional) art, martial art, etc, some people still "拜师", before the master (officially) teaches the apprentice.