In the GDC trailer there was an icon of a lyre (a small harp, like Sheik had in OoT). Many people speculate that it might just be Sheik's lyre, and perhaps is also a magical, maybe even legendary instrument. But, of course, there's no proof of that so we're not really sure.
However, addressing the question of whether or not there will be songs in SS, I'm pretty sure there will be, considering Link obtains a lyre sometime during the game.