Hi, Joe, and welcome to the forum.
I'd guess the book you are reading is "Understanding Exposure", as that style of writing seems all too familiar. I'm afraid the correct answer is not simple. A camera's meter has no idea what sort of subject/scene you are pointing it at and it has no idea whether it should be dark or light or somewhere in the middle. All that the camera can do is to indicate an exposure that will average out the metered part of the scene to a "middle tone", often referred to as "middle grey". The skill of the photographer is in knowing how much darker or brighter than "middle grey" the thing being metered should actually be. e.g. a dark suit might be a couple of stops darker than middle grey. A white wedding dress or snow might be a couple of stops above middle grey. Untanned caucasian skin might be about 1 stop above middle grey. Green grass might be between -1 stop below middle grey or even about equal to middle grey.
So while it is true that the meter can indicate when you have a correct exposure, it is far from correct to assume that a centred meter reading is the correct value. You, the photographer, need to understand where on the scale the meter should be in order to indicate a correct exposure. This is one area in which I think "Understanding Exposure" fails significantly. Bryan keeps going on about the "correct exposure" without telling you how to interpret it correctly. I don't know whether this will help but imagine a car speedometer. It will tell you how fast you are going, but not whether your speed is suitable for the road and weather conditions. You have to figure out the "correct" speed. The camera meter is much the same. It indicates how bright your exposure is, relative to middle grey, but not whether that is the correct exposure for the scene.
When you meter a whole scene, with a broad range of tones, can you tell whether the scene as a whole is about "average", or brighter or darker than "average", and if so, by how much? Well even with some experience I still find that requires a bit too much guesswork, so I like to narrow down the variables. I will normally use spot metering, so that I can concentrate the metered area to a small, distinct part of the scene and I will meter off something I think I can get a reliable reading from. A favourite is to meter off the palm of my hand and set the exposure to +1 1/3 stops. Another is to meter off grass, but I vary the meter setting for grass from between -1 stops to +0 stops depending on the content of the scene. If there are no bright areas within the scene then I will meter at +0 stops. However, if there is something bright and important to me, such as a white bird or dog, or person dressed in white, then I will meter off the grass at -1 stop. That approach will protect my highlights in a scene with bright parts, while capturing good shadow detail in a scene with no important highlight detail. Another option is to spot meter the brightest part of the scene (white cloud, wedding dress, snow) for which I want to retain visible detail and set my exposure so that the meter is at +2 stops (+3 stops if I'm shooting raw) for that part of the scene.
That's a short precis about interpreting the camera's meter. Another tool that is really valuable in digital photography, yet which gets no mention at all in "Understanding Exposure" is the camera's histogram and also the blinking highlight warnings you may see on the preview image on the back of the camera. You would do well to learn how to interpret the histogram as this is a crucial guide to showing the actual exposure you ended up with, after you've taken the shot. If you spot an exposure error you will hopefully have time to adjust the camera and take another shot. For more on understanding histograms, take a look here....
http://ronbigelow.com …gram/camera-histogram.htm
and
http://www.luminous-landscape.com …standing-histograms.shtml