I remember someone from Google saying about Microsoft-Skype acquisition that "Google is not interested in peer to peer solutions".
So I'd say it's unlikely to be true
It will be hard for Google to acquire Spotify, major music labels have a chunk of spotify pie and they won't be easily ready to let Google control what might be their future business model
It's also fairly commonplace that the licenses between music services and music labels don't transfer if the music service is purchased by another company.
The question, then, is why would Google want to buy a company who's (arguably) most important assest was just made null and void?