Server-side rendering is the technology of the past. You wouldn't be able to go anywhere good if you use that. Now, there are people like this who have been defying odds like Gods (oh, it rhymes).
Meteor gives you a client-side framework, and a server-side framework. The server-side framework is used for, well, your backend and the client for your front-end. The rendering part is completely optional. It's a full-stack framework so long so you have backend code embedded (monolithically or generally.)
I guess I won't be wrong if I say that the semantics of the last interrogative is a little dicey. What do you understand by Full Stack? Full stack essentially means that you work in both: the front and the backend. And Meteor offers that, therefore it's a full-stack framework!
I hope this helps! :)