Hopefully others will chime in here, no doubt most of them know more than me about this.
I'd clean everythign off really well, using compressed air. Make sure no spiderwebs are in the cylinder fins, etc. Everything with a gasket check the bolt tightness. Pull off the side cover and remove the clutch drum, make sure it nor the clutch have corrosion on their friction faces. If they do just clean it off with 220 grit sandpaper. Something you may want to do is start it with the bar off, to get the oil flowing, or at least be able to verify it is flowing.
Before you start it with the chain on, oil the chain really throroughly. Then wearing a glove pull the chain through a turn or two. Again, BEFORE the saw is running!
Go easy on it for the first few tanks of gas. Personally, if it runs rough I'd not monkey with the carb for a while, it might clear itself out after a few minutes.
If it is rather boggy, run it for a bit then let it set for 45 minutes, then repeat. Sometimes this can loosen up varnish in the carb.
Hopefully it will just fire up!