I've perused the other answers and I think I may have a few things to add or to clarify that haven't been mentioned yet, so I'll go ahead and answer your questions myself:
1) Has the Oort Cloud actually been documented and photographed? I know there are plenty of Kuiper objects, but I am uncertain of the Oort Cloud.
It has never been physically seen; its existence is inferred, and is not scientifically controversial at the current time.
2) Did never-before-seen comets, like Hale-Bopp and Hyakutake come directly from the Oort Cloud? Even if the answer is no, I think it would be interesting to hear an explanation of where they came from in his opinion.
These 'never-before-seen' comets are also known as "Long Period Comets". It is these comets that led Oort to hypothesize the existence of the Oort Cloud. Here is an explanation from professional astronomer Dave Jewitt:
http://www.ifa.hawaii.edu/faculty/jewitt/oort.html
The orbits of comets exhibit a wide range of sizes, inclinations and eccentricities. In the past, it was convenient to divide the comets into two groups based on their orbital period. Long-Period Comets (LPCs) are those with period > 200 years, while Short-Period Comets (SPCs) have period < 200 years.
The LPCs have several remarkable orbital properties:
Their orbits are concentrated towards very large sizes.
They enter the planetary region isotropically (i.e. they show no preferred direction). 50% of LPCs are retrograde, consistent with a truly random distribution.
Jan Oort noticed that the concentration towards large orbital size was very tightly peaked. He calculated that comets falling into the solar system from very large distances should suffer perturbations from the planets (especially Jupiter) and found that these perturbations were actually larger than the width of the LPC peak. He reasoned that many of the LPCs must be entering the solar system for the first time, otherwise their orbits would already have been modified by gravitational perturbations due to the major planets. He also noted that the LPCs seem to fall from a distance of about 50,000 AU. Therefore, he suggested that the sun is surrounded by a spherical cloud of comets from which the observed LPCs are somehow perturbed. So good, so far.
3) How big is the universe? I ask this because I may ask him tomorrow where Hale Bopp and Hyakutake came from (well if indeed they are directly from the Oort Cloud), and if he still insists the Oort Cloud (if it exists) is at the end of the universe, well then..... I want a speed estimate (and yes I know, it would be something like Warp 146). I actually think I will put it onto a warp speed scale :-)
The Universe is about 13-14 billion years old, so the visible Universe comprises that size (EDIT: i.e., 13-14 billion light years). Of course, there could be stuff beyond what we can see, so how big the entire Universe is is an unknown question.
--Peter