yep thats correct :)
If you want to change to the 'mysite' folder you have 2 options:
1. Reinstall SS and choose the option of 'blackcandy' on the install screen.
2. Move all your php and js files into the appropriate 'mysite' code and javascript folders and your .ss, .css and images into a new theme folder in the themes dir. Then move the _config.php file from the tutorial folder into the mysite folder and change the $project variable to be 'mysite' instead of tutorial and change the theme name from 'tutorial' to be 'yourThemeName'.
You can find an example _config.php here: http://doc.silverstripe.com/doku.php?id=recipes:example_config_file
once done your file structure should look like this:
-mysite
-----code: .php files
-----javascripts: .js files
-----_config.php
-themes
-----myTheme
---------css: .css files
---------images: theme image files
---------templates: .ss files
-------------Layout
-------------Includes
Hope thats clear, any questions just ask :)