I my opinion -- you should avoid it until your daughter is much older. I think DS was closer to 3 before he ever saw a youtube clip. And it is and will be a pandora's box.
If you really like the songs, you can minimize the internet program and just listen to the songs? Or find the artists on iTunes or elsewhere and download the individual songs or albums.
Your babe is SO little still. She doesn't need the visual stimulation and it's not really great for her either.
Here's a little game you all can play. I am a TV producer for a living and have produced a lot of "educational children's programming" in my time. Watch ANYTHING. A TV show, kids singing, monks chanting, any video you can think of. Turn your brain off to the content or turn off the volume and count the number of seconds between scene changes. Every time the picture changes, even just to a wider version of the same shot start over in your counting. I can guarantee you, you won't ever get past 14 seconds. More than likely your average will be 4 seconds. In the industry it's considered a big no-no to let the scene stay stagnant for more than about 7 seconds.
Your baby/toddler/ child's brain will wire itself to receive changes at that pace. Think about that and you'll really see why there are better ways to spend a child's time.
Mama to Zach 6-18-04 & Naia 10-13-10 Partner to the sweetest DH. Loving our life afloat. TV Free!