I have the LG VX5200 and a data cable that connects to my laptop.... I
want to know what it costs to use the internet on my laptop, I have
the family share plan with Verizon Wireless with 1400 minutes..

The cost of using a Verizon Phone as a Modem will depend on what time
you use the phone as a modem. If you use the phone as a modem during
peak mins you will be billed for the airtime associated with the use
of the phone, that also includes any overages. However if you have
free nights and weekends and only use the phone as a modem during your
free mins you should have no additional charges.