True Image does what it says on the box, it takes an image of the full disk, OS and all. Restoring this to the new PC will overwrite what's on the new disk and leave you in the same situation as you are now with a PC which won't boot.
You can transfer the files off the old disk onto a new PC simply by adding the old disk as a second drive into a new PC (either internally or in an external caddy) and copying them in the normal way with Explorer. The applications will probably need to be reinstalled from the original media.