how can i check my call history from the computer
http://www.verizonwireless.com
Log in with your user name or cell number and your password ( Not your account pin)
My Verizon Registration - Validate Wireless Account
You can then view your account activity.
If you are not the owner of the account you have limited ability on the web portal.
Good Luck
If you are on a post paid (contract or EDGE) account, you can login with your phone number (create a My Verizon account if you don't already have it set up - each line on a share or family plan can, and should, have a separate unique login). From there you will be able to see the call and messaging details for your line, or for all lines on the plan if you are the account owner.
Pre-paid accounts do not have the ability to see call logs. You can view the logs on the phone.