I want to preface this by promoting SAFETY and REPSONSIBLE FIREARMS OWNERSHIP. No matter what you have read or heard about NRA, only a moron would argue with their safety courses. Please check
NRA's safety page to learn the very important firearms safety rules and find out where you can go locally to get a NRA Personal Protection course (basic pistol course with practical shooting plus local laws and responsibilities)... your local gun dealers should be able to help you find such a course. Expect to bring your own ammo (100 rounds max), own pistol, pay $35 to $50 (rarely this much), and learn a LOT about handling your firearm safely and expertly.
Anyway, I am a big fan of Ruger revolvers (and I have fired a wide variety of brands). They are very well built and quite rugged. Very often they are able to take more pressure than other common brands like Colt and S&W (I am an expereienced handloader). I also much prefer Ruger's coiled mainspring designs in their Double-Actions over the traditional leaf-spring designs found in S&W and most of the rest... a much smarter design to me as an engineer (I cannot see any advantage to the leafs).
I own quite a few firearms of all sorts --revolvers, semi-auto pistols, rifles, shotguns --and every one has its advantages and disadvantages. To a new gun owner, a revolver is VERY easy to use. For home defense and recreational shooting, a revolver is quite practical. While reloading a revolver is required more often than a semi-auto and takes a little longer, most bad guys do not want to hang around once you point a gun at them much less fire one. With practice, one can reload a revolver relatively quickly. Revolvers are far simpler to operate, usually have far less parts, and are more reliable in operation than semi-autos. Often, revolvers with barrels of the same length tend to be more accurate than semi-autos, but this is not always true. I invested a total of $1500 in my Para Ordnance P16-40 Stainless Limited for IPSC competition and, with the custom work and match parts, it rivals most 5"-barreled revolvers, but at a cost of three to five times as much... but then I can fire off a very fast 18 rounds (aftermarket extended floorplates in the mags) before reloading. Basically, a good revolver is cheaper than a good semi-auto pistol and more accurate for the dollar. Expect to pay $300 to $500 for a nice revolver. Obviously, shop around, find something that fits your hand, and consider what you really want it for: strictly for recreation (4" to 6" barrel)? or do you want some concealability too (3" to 4"

? or do you want to possibly compete or want really good target shooting capability (6" to 8"

. Hunters using scoped revolvers use up to 10.5" barrels!
If you strictly want to shoot for pleasure, a .22LR pistol is relatively cheap to buy and very cheap to feed with ammo. Otherwise, I suspect you will find a revolver in .357Magnum the ideal all-around caliber of choice. It is readily available and a good mid-range size with as little or as much 'punch' as one could want. Further, all .357Mag revolvers can shoot .38Special, which is cheaper and a little gentler.
My wife, a very small person (4'11", 95#), finds our Ruger SP101 .357Mag (stainless, 3" barrel, based on double-action GP100 service pistol) very easy to handle. It is also very easy to conceal, and surprisingly easy to control for its size (I have found 110-115gr in .38Spcl +P+ work better than .357Mag). It amazingly works well in my big hands and, after a mainspring swap, is actually enjoyable to shoot.
Then there is the double-action stainless .44Mag Ruger Redhawk with 7.5" barrel. This is a lot of gun t handle and not a very good way for a beginner to learn to shoot accurately. This is most suited to hunting but is a good target shooter as well.
Then there is the fun 'his' and 'hers' matching set of Ruger Bisley Blackhawks in .45LongColt and .22LR. These are fun single-action revolvers very reminiscent of traditonal cowboy revolvers, but a little more accurate with their modern sights, and sturdier with their beefier design than the cowboy-knockoffs.
There are many more Ruger models, just look at
Ruger's revolver offerings.
I could tell you plenty more but choose to let you digest this and ask more questions later. Please remember, Safety First! You can also check
rec.guns safety FAQ. Please do not hesitate to ask if you have any questions.