You really should do some research and as I said ASK VERIZON.
I just checked on the Internet and found that “Verizon Home Phone Connect” is basically having ONLY wireless phone service. But in those, if you use that to access the internet, they will limit how much internet data you can download and they can charge you quite a lot for it.
Not to mention, if there is a power outage that lasts a while and you won’t have a phone or internet or anything else...
http://www.verizonwireless.com/b2c/device/home-phone-connect?&zipRdr=y
Also:
“NOTE: Home Phone Connect may not be compatible with certain home security systems. Please check with your home security system provider to confirm the compatibility requirements of your home security system. Home Phone Connect is not compatible with fax machines, DVR services, credit card machines, medical alert services or some High Speed or DSL Internet services. Please contact your service provider to determine if Internet service is available as a standalone offering. “
http://www.verizonwireless.com/b2c/device/home-phone-connect
That's why God made batteries, inverters, and in extremis, gensets.
/johnny