Livestream Widget

Once you've added a Livestream's embed code to the Content section of your Dashboard, you can then display it on your Site. 

As an alternative to linking to the Livestream page you can put a Livestream Widget on any custom Page, like any other Widget, and it will automatically feature the next upcoming Livestream.

FACEBOOK LIVE OPTION: Instead of using the Livestream feature, put the Social Feed Widget on a Page and set it up with the Facebook Page that the Livestream will appear on, and people will be able to see the Facebook Live as it appears at the top of the Facebook Page's feed, in the widget, on your Page. (Of course all other posts on that feed will be visible in-between live events.) No embed code or updating is needed with this method.