I got a Ipod touch for my birthday?

[teenyplant030]

So a couple of weeks ago, my mom bought me an Ipod touch for my birthday and I downloaded a few stuff on it, the usual such as vine, tumblr, kik, and instagram whatever. my friend and i were chatting and stuff, she sent me a screenshot of her home screen. at the top it says verizon while mine says Ipod witht he wifi signal. Am I suppose to hook my Ipod with my phone plan? My mom bought my Ipod at best buy or target i believe. It's really bothering me since my friend's says t mobile and verizon. and when i go outside, my music stop playing and it says no wifi signal. :/ HELP