Will I be charged for my internet being turned on?

I have the iPhone 5 and 1GB of internet per month, if I'm out in a place where there's no Wi-Fi but I happen to not be using the internet, will I be charged for it and is there something I need to do in order to not be over charges

If you have a data plan you will be charged.

Some apps use the internet in the background, when you don't use the phone. If the data reach the 1GB limit you get charged extra.
you should be able to check the bill online. Check the website of your phone service provider. Like att&t, regularly.

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