Google Simple Search will place only a small search bar on your desktop, which you can make almost invisible by changing its opacity, to perform easily global internet searches.
Google Simple Search will let you search the internet right from your Desktop, without the need to wait for your browser to load in order to write your search terms.
If you prefer to search more than Google (Wikipedia, Bing, Yahoo, Amazon, Dictionary, Ebay, Flickr, and more), get rather the SearchALL Gadget.