HOWTO9763
is the most complete, but a little verbose for what you want to do. Basically, you would need to stop SQL, make a copy, and move it over to the new system. You could do a brand new setup and point it to the existing database.
I've never applied a backup of one database to a completely different database, but the procedure would be easier. Just copy the .bak file over and see if you can restore it.
I would expect lots of errors, with missing file errors, dependency checks (if you're test server isn't exactly the same as your prod). Additonally the data is 'dead' meaning with no active client updates, but if that is what you are seeking to to, this should work for you.