With Phoenix LiveView, do we get server side rendering for free?

With Phoenix Live, do we get the benefits of real time clientside updates, with server side rendered templates as well?

Seems like we do get real time updates via socket but the server side is manipulating the javascript DOM which the client side takes to render.

I think, I may be wrong, but we can have real time server side rendering already via socket no? LiveView is just a way to manipulate DOM on the server side and push those changes to client side. I believe the client side, the browser, still have to render those DOM changes.