From quickly looking up, you want to read: Sword Art Online: Aincrad and then Sword Art Online: Fairy Dance These two covers the first and second arcs of the anime, which in my opinion you want to watch as there is a big difference as you see the much more child-like drawings of the manga. Also, I'm not so sure how much has been translated to english, so again I highly suggest you watch the anime for these first two arcs. Then, I would suggest reading Sword Art Online - Girls Ops as it relates to after Fairy Dance or Alfheim Online (second arc of Season 1) There's also a series called Sword Art Online: Progressive but this is a spin-off sidestory for the original Sword Art Online: Aincrad.
This reboot is much better detailed (same as Girls Ops) but is not shown in the anime (which is what I watched). Overall I think it might be best if you watch the first 2 seasons of the anime and then if you're still interested read the manga I listed. I'm not so sure if the second season has even been translated in english for the manga.
Oh, and as a tip, use Kissmanga and Kissanime. They are the absolute best manga and anime sites I've ever used as kissmanga loads all manga pages in one page (so no need to click to each page, you just scroll down). For kissanime it's great since the media player is very similar, or if not IS that of youtube so it runs very smoothly and can be changed to different qualities (480p, 720p, 1080p, etc.) The only thing you need to know is to turn of ad blocker as they don't allow it.
You'll also have to delete some ads that load when you load up the page (as of now there is usually a few uptop, more underneath, and one on the side of the video.).
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