I've spent some time recently searching for photos of the event. There isn't much to choose from on the internet. Mostly just variations of “the busboy photo” such as this :

… or this awful doctored-looking photo ...
… published in many newspapers such as the LA Times:
http://latimesblogs.latimes.com/lanow/2010/11/busboy-in-iconic-rfk-assassination-photo-pays-his-respects-42-years-later.html
Just looking at the above photos got my suspicions up. Does it seem likely that the Secret Service would allow a busboy to do this with a mortally wounded US Senator just after being shot? Compare with SS reactions to Reagan's "shooting" easily found on YT.
RFK was supposedly shot 3 times from behind at a range of only inches. One shot in the back of the head behind the right ear and two shots in the right armpit with one of these bullets exiting the right front of his chest just below the clavicle.
Refs:
http://en.wikipedia.org/wiki/Assassination_of_Robert_F._Kennedy
http://www.jfklancer.com/hunt/moldeas.htm
As it happens I came upon a “coffee table” book of photographs of RFK by a photographer named Harry Benson which include some 35mm B&W photos of the “assassination” which do not appear on the net AFAIK. The book is titled R.F.K. A Photographer's Journal:

I tried scanning the photos from this large format book and the results were terrible due to the bulkiness and binding of the book so I had to resort to straight photos with an SLR. Here are the only two that show RFK after the “shooting” that are large enough to be useful:

© Harry Benson
(Line down center is the book's binding)
Again, no blood is evident. How does a bullet come out of someone's chest without the slightest stain on a white shirt? Notice also the calm and relaxed expression on RFK's face in this photo as well as the top photo in this post. Does the face look like a man in pain from gunshot wounds? Or, does it simply look like a man lying down with his eyes closed?
While writing this post I found a smaller version of the photo here:
http://www.toptenz.net/iconic-photographs-by-harry-benson.php/robert-kenneday-assassination-harry-benson

© Harry Benson
Why is that person grabbing RFK right at the area where he was supposedly shot in the back of the head on the right side? Seems a bizarre thing to do but why is there no blood on that person's hands or on the tissue/handkerchief that he's wiping with? And, of course none on RFK as well.
Here is another photo I found on the web:

ref:
http://bobby-kennedy.com/rfkassassination.htm
Still no blood apparent on his bare chest though the area of his chest where the bullet supposedly exited is visible.
In searching YouTube I was finally able to find some blood! It's in the first 1:30 minutes of this video news footage. There is some red on the pavement below RFK's head. :
full link: http://www.youtube.com/watch?v=LyCfJDGdnqE
But, notice that the kneeling man holds RFK's head, again with his hand on or very near to the place where he was supposedly shot (an odd thing to so in itself) yet there is no blood visible on his hand or clothing.
This "assassination" reminds me of the very unconvincing, staged-looking and bloodless shooting of Lee Harvey Oswald as covered on the earlier Zapruder thread here.
Anyway, I don't think RFK was really shot. Do you?
[edited to fix typos]