I recently bought Skyrim on Steam and did not know that it can only be played on Windows. I was wondering how can I play Skyrim on my Ubuntu computer?
You just have to download the fresh version of Steam of Linux.
Just to let you know, before the release of Steam for Linux you would have to go through a non trivial process installing the Steam for windows version to Linux via Wine.
EDIT: Since Skyrim is not yet available, you would have to install it using wine. You could take a look here.
There is a project called PlayOnLinux that works to automatically setup many games devloped for Windows, to be played on Linux with minimal hassle.
You can get the program via the repositories using the command
Once PoL is installed you can run the program. To install a game, click the button on the right-hand sidebar that says "Install a program". Once in that menu just use the search bar to find "The Elder Scrolls V : Skyrim", click to install. This will automatically download the version of WINE that is known to work with Skyrim as well as install Steam on the virtual drive, if you so select.
The installation may throw an error, but they usually provide you with information on how to fix it, commonly in the form of a link to a "How to fix problem X" type page. Just follow the prompts and it should work.
Alternatively, you can just install it from this page on playonlinux.com, which has The download link for Skyrim.
EDIT: Sorry! I didn't realise this was a 4 month old post :( Just saw it on the front page and answered!