Since you can't "upgrade" to a RAID-1 volume in the NAS without loosing data from both drives, the simple answer is, you can't.
As gunrunnerjohn says, if you were to put the new large drive in to replace one of the others, your RAID array will only be 500GB still.
Your best bet is to remove one of the hard drives from your RAID array and keep it safe. Then remove the other and attach it to your computer either directly or by using a SATA/USB converter or enclosure.
Then install and format your new 1TB drives in the NAS as RAID-1. Use your computer to copy back the data to the nas. You're best using a wired connection to the network port of the NAS from your computer, there's no need to go through a router first for this purpose.
If you're running Windows, you'll need a Linux filesystem driver to be able to read the contents of the drives.
http://www.ext2fsd.comAnother option if you're bored and like to tinker, is to connect the drive to your NAS's USB port using the mentioned converter cable/enclosure and running third party scripts to get the job done. This is a much more difficult process however and outside of the scope of this forum.