Do we have to pay for Wi-Fi on new iphone?

When the new iPhoneS comes out on September 20, my mother had said that she would allow me to get a new phone. However, she is not allowing for me to get the iPhone products because she says that you NEED to pay for Wi-Fi on it, even if you don't use or want the Wi-Fi, and is insisting that I get a Galaxy. However, I'm trying to convince her to get me the iPhone because I never had a iPhone before and this would be my first time (Yes, I had previous phones-just not iPhone).So is it mandatory to pa for Wi-Fi on an iPhoneS, even if you don't want the Wi-Fi? I can just connect to home Wi-Fi; I don't use Wi-Fi outside anyways. Is there anything I can do to convince her that you don't have to pay for Wi-Fi on an iPhone?

To clarify before anyone calls me a spoiled brat and that I should just get the Galaxy, I only had one previous phone before and never had a touch screen phone. Everyone has a phone in my school except me, because my mom and I are still arguing over what phone I should get.

P.S. What I'm trying to say is:
I will only connect to home Wi-Fi and I do not want to pay for unnecessary Wi-Fi (my Mom said that Apple will force you to pay for the Wi-Fi, even if you're not using it). I do not want a Wi-Fi plan that will allow me to connect anywhere outside; only my house.

Please reply, thank you!

It dpends where you are, most coffee shops are free and other public places too, but I think on trains you hve to pay

You do not pay for Wi-Fi. Only thing you would pay for is 3G which all phones have so its not just an apple thing. Also it can be turned off so you're 100% sure that your 3G data is not bring used without you noticing.

On pretty much all smartphones, iPhone and Samsung Galaxy included you can connect to all Wi-Fi networks for free if you have the passcode. Most contracts come with 3G/4G but you can buy the phone unlocked and get a SIM from your chosen network. So tell your mum that you don't have to pay for any extra Wi-Fi.

I think she is confusing 'Wi-Fi' with 'Data'.

ANY smartphone contract or SIM deal will include a paid-for data allowance - that's why they are more expensive than non-smartphone contracts.

If you get any form of smartphone you will have to have a smartphone contract / PAYG SIM.

Wi-Fi is free at home (assuming you have broadband) or at any place with free Wi-Fi.

Any data use away from Wi-Fi will use your monthly data allowance.

As long as you are not streaming video, it's unlikely you will use anywhere near your basic data allowance…