Regardless of seeing the obvious chat window there are no instructions on how to use it, so I think a quest to learn it sounds great. There are quests that force you to use emotes, why not chat?
We are constantly helping new players with things like
  • changing the options on a chat tab
  • setting the default chat window behavior
  • how to chat with the free company
  • how to chat in a party
  • how to chat in a linkshell
  • how to reply to the last tell (which is buggy - you can try to reply to a blocked tell you never saw)
  • before the first patch, how to blacklist someone