Using a SIM card from another phone to an iPhone 4s?

So my aunt recently just got the 5s, she's giving me her old 4s. I was wondering if I could take the sim card from my current phone (Some old Samsung phone) and put it into the 4s. Because the iPhone needs an data plan but I don't want to pay for that.

To sum it up, basically I want the iPhone to have the same phone plan as my current phone.
I don't really know much about how phones work so thanks!

Added (1). What about sim card cutting?

I don't think so.
The phone might reject the SIM card. Maybe you could buy one at the store or contact customer support for more options.