The new version is free to use as usual but has also been tweaked with certain new features like the online search, amazon search, dash preview, excellent booting time, new wallpapers etc.
I assume you are done installing the new Ubuntu 12.10 on your system, if you are dual booting it with Windows then you might like to read [How To] dual boot Linux Ubuntu 12.10 with Windows 7.
Now lets proceed with the qualitative things you should do immediately after you install Ubuntu 12.10. If you are still using Ubuntu 12.04, you can also see things to do after installing Ubuntu 12.04 LTS.
Check For Updates
or on the Dash search for "Software Updater" and check for updates if available.
Install GNOME Tweak Tool
Enable Hibernation Mode
Open the terminal and run the code below
save and restart to check.
Disable Online Search in Dash
Install and enable XScreensaver
and copy and paste the following code in the file
Install Ubuntu One Indicator
Install Notifications Indicator
Install Adobe Flash Plugin
Open the terminal and run the following commands
Install Download Manager (Multi Get) for Ubuntu 12.04
Install Email Client Thunderbird
Install Instant Messaging Client (Empathy)
Install Adobe Reader