Yes, the PS4 comes with the ability to broadcast within, but you can't record your sessions or put your own overlay on the screen. Which is something you can do when streaming from the PC and the Xbox One.
According to Scott McCarthy of SCEA, "We recognize that some gamers want to record and share longer clips of their gameplay sessions, and we're excited to deliver this option with PS4. There's a lot more coming in this update as well, so stay tuned for more - there will be plenty in the update to excite everyone."
Perhaps a 'Follow' button? It is Twitch after all. You know, a service where people follow one another.