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Welcome to Firefox Add-ons.
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Google I'm Feeling Lucky search for Firefox Awesome Bar(address bar).
Why this add-on is needed is described here - http://enzam.wordpress.com/2011/09/04/how-to-fast-search-in-firefox/
About this Add-on
Sometimes some plugin/add-on change this default search from Google to Ask or something else.
Also you want to add "I'm feeling lucky" feature to this search. The benefit is when you will search some site and Google is confident enough that it has found the site you are looking for, it will directly take you to the site.
To fast search in Firefox you can do it manually by going to about:config and adding/changing the key "keyword.url" to this value "http://www.google.com/search?btnI=I'm+Feeling+Lucky&q=".
Or you can install this add-on :-)