So I saw this Text game on this site where on a character you pick the verb speak too,
you get the meassage
Talk to the character about:

1. "How they are doing?"
2. "Ask about the weather?"
   Each of those options seemed to be a display verb that in that message you could click and it would run that verbs script, how do I do this?

Hi, Check out the Quest Documentation page: link below;
http://docs.textadventures.co.uk/quest/
It tells you how to do lots of cool stuff.

But, I think the ones you need are the two listed below. The first is the conversation library, the second is a more general way to implement speech/ talking to NPC's (Non-Player Characters) in your game.

https://github.com/ThePix/quest/wiki/Library:-Conversations
http://docs.textadventures.co.uk/quest/conversations.html

Hope this helps.