Verizon Blackberry APN Settings:

Internet APN
Go to Settings -> Network Connections -> Mobile Network ->APN


Access Point Name (APN) :  vzwinternet
Username : Blank
Password : Blank

MMS APN:
Tap Text Messages ->…> Settings ->Text Messages ->MMS ->Advanced and enter the following details
Access Point Name (APN) :vzwinternet
Username : Blank
Password : Blank
MMSC Settings
MMSC URL : http://mms.vtext.com/servlets/mms
Proxy URL: Blank
Proxy Username: Blank
Proxy Password: Blank