Hello Benny Lawrence,
Welcome to the Apple Support Communities!
I understand that you have a new iPhone 6 and would like to recover your contacts that are backed up with iCloud. If you are looking to restore from that iCloud backup and recover the entire backup from your old iPhone, please use the attached article to help you through that process.
iCloud: Restore or set up your iOS device from iCloud
If your iPhone has already been set up and you are simply trying to recover your iCloud contacts, please use the next attached article to help you troubleshoot if those contacts are not showing up.
Get help using iCloud Contacts - Apple Support
Have a great day,
Joe