can i download music while home sharing from my Imac to my new ipad

If you set up the iPad with the same Apple ID as your Mac and iPhone, anything you have purchased from iTunes is available to your iPad.

• You can redownload your past purchases from the iTunes Store on your iOS device or computer. Even if you bought an item on your iPhone, you can redownload it on your Mac.
• You can manually sync the music on your iOS device with iTunes on your computer using a USB cable or over Wi-Fi. When you sync manually, your content copies from one device to another. For example, syncing your iPhone with your computer copies any selected music from iTunes on your computer to your device (if it's not already there). Your music collection stores locally on all of your devices and you can listen to it without being connected to Wi-Fi or the Internet.