Can I connect my iPhone with another carrier?

IPhone 5s in silver, 16gb, I bought it a few months ago, about a month before summer. I bought it at Boost Mobile for 600 bucks because my mom doesn't like contracts so she just bought it and we're not on a contract. I really want a contract with AT&T but since my mom really saved up for this phone to make me happy, I want to connect this phone. Is it possible for me to take my iPhone and get a contract with AT&T?

btw if I can do this, how much would a plan be for unlimited data.

Likely not possible, since Boost Mobile (which operates through Sprint) is a CDMA carrier whereas AT&T is GSM, meaning they need SIM cards which Boost doesn't use (for calls/texts).

Though there's a chance it is since the 5s is a CDMA/GSM phone. AT&T like most other carriers eliminated unlimited data for years now.

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