Hi Grace,
In 1000 hours of play, I've realized that the game is setup so the civil war will continue and not be resolved.
In both playthroughs I resolved the war, once for each side.
But there are loose ends (and some outright bugs) that indicate this is not what the devs had in mind...
So I recommend you do the main quest first.
Then, you'll be able to host the Truce Talks or whatever they call them, hosted by the Greybeards, with Ulfric and General Tullius together in the same room (which I have never seen).
Last time I saw Ulfric was in Sovngarde, heheh...
Anyway. Have you done other stuff yet (Thieves Guild, Dark Brotherhood, Companions)?
I have always saved the main quest for last, but would do things differently the third time through.
(But that's not happening anytime soon!)
Regards