Does verizon wireless watchlist show what text messages u sent?

So i'm friends with this guy who is a "bad influence" and I text him sometimes about illegal stuff. And recently, my dad put him on the Verizon Watchlist. It sent me a text saying that it would notify him whenever I contact this person. I'm jusr curious if my dad can see the actual text messages that I send and I receive. Also if he could see them, let me know if there's any way I can disable it, I have an Iphone 5s.

No you can't disable it. It's designed so that parents can have some control over who their stupid kids contact.

You can't disable it through text as it's done via Verizon. You can use Wi-Fi to text him via Whatsapp or Go SMS Pro or some other apps but not via normal Message.