Verizon unlimited data?

I have a question and figured this was the community that would know the best-

I am still on a family plan through verizon with my parents. They never use their upgrades so I was thinking about using one of their upgrades to get the Galaxy S4. I currently have an iphone 5 and I still have unlimited data on my individual line. My father has an iphone but only has 2GB per month. If I use the upgrade available on his line to get the S4 and then just activate it using my sim card, will I still have unlimited data?

Thanks!