You can monitor the incoming and outgoing phone numbers in your My Verizon>My Account>View Bill section. However they won't appear with contact names, just phone numbers.
In order to read the text messages you'd need the actual phone.
Nerdyo56, we apologize. For security purposes, the actual content of those text messages are not available to view. As a result, you will only be able to view the time, date, and mobile number text messaging activity online at My Verizon. Click the link below to sign in:
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