How to put my itunes songs onto my chromebook?

I have my iPhone hooked up to my chromebook but it is only syncing photos and videos onto my chromebook and i don't know how to put my songs from my phone onto my chromebook

Did you buy the music from iTunes store? Did you login to your iTunes account on the Chromebook? Did you authorize iTunes for your account on the Chromebook?

Assuming iTunes on a Chromebook is the same as on other computers, you need to go to pull down the "store" menu and authorize this computer for starters.

If you didn't buy the music from iTunes store, than you probably can't do it, at least not easily.

You can't. ITunes is not compatible with Chromebook.