Point and click cameras, or 'point and shoot' cameras as they are also known, are really easy to take photographs with and they are small and lightweight as well.
Point and click cameras have often had a stigma associated with them, though, because they are limited in terms of their feature set. They are not as sophisticated as a digital SLR - you can't change the lenses on them, and they often have lower resolutions as well. However, they are robust and you can get underwater point and shoots, child friendly ones, and even ones that are so small that you can put them on a keychain!
The stigma surrounding point and click cameras is not really deserved - there are some really good ones out there these days that have a lot of the features that people have come to expect from more sophisticated DSLRs and EVIL cameras. They offer high resolutions, low chromatic abberation, good color reproduction, fast shutter speeds, good focus, and more. They are easy to use, they will sync with your desktop or upload photos to your favorite sharing sites, and they have auto-focus and shutter speed or aperture settings that are ideal for most situations.
That's part of the beauty of these cameras - you really do just point at what you want to take a photo of and take the photo, then the camera will do the job of making sure that the photo comes out well for you. Often, you can get the camera to show an overlay to help you with things like the rule of thirds, so that the shot is framed as well as possible. These guidelines are ideal for people who don't have a good eye for lining up shots, and they take a lot of the work out of positioning the subject in the frame for you.
These affordable and easy to use cameras may not turn heads the way that a DSLR does, but that can be a good thing. They're compact, they're ideal for people who travel a lot, and they're robust too - so you can take them on holiday with you, or give them to your kids, without having to worry about them getting broken - they're not indestructible, but it's better to damage a low-cost camera than a thousand dollar digital SLR, and for a beginner, the quality of photos would be fine.