Google has recently announced a search for music. Yes, you can search for the music you want to listen. URL for this is http://www.google.com/music. Since it is in the initial stage and not available in some countries. It is available only in few countries such as US, India and others. Indian users can visit http://www.google.co.in/music. Till now they have not given any option to download the songs. But you can listen them online.