Quiver was pretty heavy on the supernatural side - something not all that common in GA. Even considering the whole DC Mythos. That being said, I DO think it was decent, considering it was a 'Resurrection' story line. Certain tie-ins, and the placing of where certain characters (i.e. Hal) does allow it to make sense...
As for what to read after Year One, that depends on what you want for flavor. If you want the feel of Arrow, then read Grell's run in the eighties. Longbow Hunters is a good place to start (also the first appearances of both Shado and Eddie Fyers, if I recall correctly).
Grells run through issue...was in the 60s, I believe, basically ran as a 'mature' title and stayed away from the majority of the main-stream super heroics. Very down to Earth, gritty, etc. Can't remember all of the stories, so I couldn't say how well the they stand up to the test of time.
When Grell left, they integrated the book back into the mainstream. Eventually Ollie 'dies', and his son takes over the mantle, running through the cancellation of the book (and it's relaunch with Smith writing).
Smith's Quiver story line started the line that ran through the the early 21st century (I think it's volume 3, don't quote me on that, might be 4). This runs until the book transitions over to the Green Arrow/Black Canary book, which was then cancelled.
Some of my details may be slightly off, I wasn't reading comics for most of this period. Just now catching up with the later story lines here.
After that, it went into the post-Blackest Night/Brightest Day story line. Star City is FUBAR, has a giant star-shaped forest growing in the center, and Ollie has taken on a 'Robin Hood' approach. There was quite a bit more mysticism involved (I'm loath to say magic, but it really was). They even hinted at giving him 'Merry Men', and he met (and rescued) a 'Maid Marian'. This book got cancelled with the shift to the New 52.
If you want good, old-fashioned silver-age camp (in the form of solid stories), read anything with Hal and Ollie back when they were the Hard Traveling Heroes. Basically, the pair of them palled around the US in an old, beat up truck and experienced the plight of the 'little man'. They were accompanied by one of the Guardians, Ganthet, who also wanted to experience a little more of Earth.
Sadly, if you want 'current continuity', which ignored pretty much (i.e. all) that I just listed, then you're going to want to start with the newest stuff: the New 52. The first two/three story lines were OK. In my honest opinion, it went down hill quickly from there. They seemed to be pulling from the Smallville/Justin Hartley Oliver Queen - younger, brash, apparently a good for nothing (okay, that's most Ollie), and still involved heavily in Queen Consolidated, especially Q-Core - which is their applied sciences division.
It's all well and good. The Hartley-Ollie may not be my favorite rendition - which is the writing/portrayal on the show, not a smack at Hartley's acting since he did do a decent job - but if the stories don't hold up, they don't hold up. They didn't.
Issue 0, which DC used as it's origin issues to give some background on this new cluster(insert word here) they made of a universe, seemed to be trying to give a new reason for Ollie to be on the Island (I won't spoil, let's just say no ship was harmed in the writing of this story), as well as setting up Tommy Merlyn as the potential Merlyn the Magnificent.
Issue 17 was (and I'll say it again, in my opinion), on a completely other level. I mean it was GOOD. Some of the coloration seemed to mute out the look of the lines, but the story is solid and the art fits. It's too early to see if the new creative team saved the book, but I'll say that 4 issues in, I'm eagerly awaiting the next issue.
Which sucks because the last issue, #20, came out two days ago. The story causes a major upheaval in Ollies life, introduced a new villain with an old feel, and has left us asking 'What', 'Why', 'How', and 'Huh?' while waiting for more. Which, I think any good story should.
Individual mileage may vary, and seeing as Ollie ranks in my top faves of all time, I may be biased.