Sherlock, I can't say if that bow is any good or not. As long as the riser is made from a material that can handle the stresses of drawing and shooting a bow (so actual aluminum/magnesium alloy, and not pot metal) and the cams are machined so that they don't have any burs or anything like that, I am sure it will fling arrows safely.
That said, there will be some factors inherent to that price point that you should be aware of:
While the string is made from a known quality manufacturer, that is only half the battle. BCY makes a lot of different fibers for bowstrings, some being more stable than others. Also, how the string was made will affect the final product as well. If the string/cables on this bow were made with cheaper fibers, designed for relatively low loaded bows like recurves and longbows, or built to inconsistent standards (tension on the individual strands, tension on the string during serving, post build stretching, etc) after a short time of shooting they will stretch. This will put your cams out of synch, and the bow will become less accurate, louder, and probably produce more vibration at the shot. That can be fixed, easily even, but it may take a few cycles of shooting and adjusting to get everything to stabilize, as even the cheapest fibers will eventually reach a point of maximum stretch/creep (archers call it "creep" as unlike stretching, which implies a return to a previous state, like a rubber band, a poorly built bowstring/cable set will get longer and stay longer, throwing your bow out of whack).
The other thing I saw about this bow that would make me hesitate to recommend it to a new archer is its length. 28" axle to axle seems very short to me. Shorter bows are reputed to be less stable, and therefore less accurate. Its not the bow doing anything differently from shot to shot, but rather the shorter bow is harder to hold steady. Maybe you will shoot this bow great and achieve excellent accuracy. Maybe you won't. If you don't, before you decide you hate shooting archery, try a longer bow, or get clever with some side rod stabilizers on this one.
Finally, once you decide you really like archery and want to upgrade bows, because lets face it, most of us are always looking for a "better" bow, ask around a bit. I think if you would have asked the AT community about this bow before buying it, most would have tried to steer you into a different direction, like the AT classifieds, where there are dozens of excellent bows, from quality manufacturers, for right around what you spent on the ebay bow. Everyone on here is pretty committed to helping others enjoy archery as much as possible. Everything from shooting form related advice to bow reviews and opinions is freely and openly, and often enthusiastically shared here.
Have fun, and best of luck