LOS ANGELES—Google Inc. is rolling out an ad-free subscription service, YouTube Red, along with a host of original programming to lure paying subscribers to its massive YouTube platform.

YouTube Red will cost $9.99 a month for Android users when it launches in the U.S. next week after years of development. It will be available when subscribers sign on a variety of devices and apps, including a new YouTube Music app that is set to launch later this year. The YouTube Kids app doesn’t allow users to sign in, so it won’t immediately...