Neririn
I just found lots of results !
I suggest you try again using the Search site box at the top right corner of this page, type in the word backup or the word backup2ws.
When the results are displayed you may need to scroll down the page to see the Forum results of which there are lots, make sure you click on the Show all results link, and make sure you go back far enough too.
To upgrade via a backup in your situation, you would probably be best upgrading your 6.x box to 7 and sort out any problems with incompatible add on contribs or custom templates.
Then create a good & tested backup ie do a test restore on another machine.
Then build the new sme7 machine and restore from backup.
You will have to install the new backup2ws or backup2 contrib before doing the restore though.