Music from Library to iPhone?

I have songs on in my library and I have been trying to get them on my iPhone. It syncs but then cancels. But when my sister plugged in her iPod, All the songs in my library when on her iPod. It won't do that for my iPhone! My iPhone just cancels.

It will only work if you have itunes (if you do have itune just sync them up).

You should make sure you're actually syncing music. Go to the iPhone's pane in iTunes, at the top click music and check if the checkbox is checked. If you bought iTunes match, then check if it's active on your computer (go to the menus on the top (iTunes, File, Edit, View, Controls, Store… Look into the store menu. There should be an option to turn on or off iTunes match (6th option. If you want to use iTunes match, turn it on and if you want to sync it manually through iTunes, disable iTunes match on the iPhone.
Once you turned iTunes match on on your computer, there should be a screen that will upload (sort of) your iTunes library to iCloud. Once finished, when you open music on your iPhone, it will show all your music.
When you deactivate iTunes match on your iPhone, go back to iTunes and check the Sync music checkbox mentioned earlier. After just sync and your music should be on your iPhone.