You are looking at the outer surface of the eye through the glasses. The eye forms its image on the retina.
If you took a picture of your mother wearing glasses that showed her retina, you could adjust the camera to see the retina in focus. Light from a point on the sensor of your camera would go through both the camera lens, the glasses, and her eye's lens to form a point on her retina. That means light from a point from her retina would follow the same rays backwards and form a point on your sensor.
On the other hand, when you wear her glasses, they cause rays from the camera sensor to come to a focus in front of or behind your retina. Light from that point could follow the rays backward to a point on the sensor, but a point on the retina would be out of focus.
The glasses themselves are usually weak lenses. Usually they have a focal length of a meter or so. Compare that to eye lenses which have (or should have) a focal length of the eye's diameter. Likewise, camera lenses have short focal lengths.
When you focus the camera on a face, light from a point on the face comes to a point on the camera sensor. Light from slightly farther or closer are almost points. The camera uses a small aperture, which blocks rays except those that travel pretty close to a straight line. These rays come to an almost point. This gives the camera some depth of field. A ranges of distances near the true focal plane are close enough to in focus that they look clear.
You can see the effect of an aperture by taking off your glasses and seeing the blurry world. Look through a pinhole and the focus improves. When you get an eye exam, this is why the opthalmologist puts drops in your eye to dilate it. He maximizes your eye's aperture so he can learn about all your eyes defects, not just the central portion.
The weak glass lenses change the angles of rays slightly, as if that portion of your face was a little closer or farther away. But not so much that it is noticeably out of focus, given the camera's depth of field. The eye's lenses is much stronger. The retina would be well out of focus.
Best Answer
Eyewear is not usually made of glass these days. Some plastic lenses block all UV, but some plastics allow some UV to pass so a coating is used.
For glass.. see this article about car window glass. Not all UV is blocked without a UV treatment. http://www.skincancer.org/prevention/are-you-at-risk/sun-hazards-in-your-car