The easiest is to search him in the NPC list, right click on the character and select "use info". A window will open with everything about this character.
In the new window you'll find all dialogue lines he says and the associated quest. Just click on the line and the quest dialogue window will open.
From there navigate a bit and you'll find what you want.
For boone there is another way, because he has a unique voice : In the voicetype you can select his voice and right-click to see where it is used (same as above, use info)
You can also check the follower quest (I don' recall the anme but it is easy to find using the first option above). Then in the conversation tab you'll find everything he says during exploration or combat.
Finally, you can try with the search option in the edit menu and type the name of the character. It will return every form where this character is used, there is an index to find dialogues only.
Don't use tthe "filtered dialogue" in the character tab, it is not reliable