Finding NGC 5634 is surprisingly easy.  It overlaps an 8th magnitude star; both are visible in finders from a dark site.  In finders or small telescopes it appears as a slightly fuzzy star.  Here the proximity of the nearby star helps, because in comparison the "fuzziness" of the globular is readily apparent.

In my 18-inch at 94x NGC 5634 appeared as a small round fuzzy ball.  Individual stars were not resolved.  The nearby 8th magnitude star is quite distracting.  Similar views are described using telescopes from 4 inches to 12 inches.  I wonder, though, if these observations were simply made at magnifications too low to reveal the individual stars.  All but the biggest, brightest showpiece globular clusters require good seeing and more magnification than many observers are accustomed to in order to resolve individual stars.  It is the individual stars that make them so visually appealing.  Be sure to view such globulars when they are high in the sky and don't give up too easily.  If the seeing isn't extraordinary, come back on another night.  You may be very pleasantly surprised.

At 270x this cluster is similar in apparent size and appearance to M53 -- as the latter is seen at 94x.  It appears as a small round haze, with a brighter inner core.  Scattered about, as if tossed carelessly on top, lie many resolved stars.  At 400x even more stars appear, producing a very pleasing view.