What SORT of 3D glasses? There are all kinds.
First of all, it's all stereo, not true 3D, just to make it clear. If you move around, you still see the picture from the same point of view, unlike with true holography, for example.
The way all stereo glasses work is by letting you see objects with one eye slightly different than the other eye.
But anyways stereo glasses generally fall into following categories.
1) Refractive "3D" glasses simply split the light into spectrum. Objects of different pure spectral colors will have different "depth" to them. If you ever saw the 3D glasses that work with colored chalk or pencils, that's the type. It's not real 3D, but it can look like it. Fun to play with. (Sounds like these are the kind you got.)
2) Anaglyph. These are the classic red-and-blue 3D glasses. They let each eye see only one color, blue and red respectively. Two images are superimposed, again in these two colors, one for each eye. Since each eye sees only its own picture, you can get the stereo effect.
3) Shutter glasses. These are usually built with pair of LCD cells. Not like a full screen, but just a single "pixel" for each eye. It can turn transparent or opaque. Only one is transparent at a time, and it is synchronized to flickering images on the screen. These work very well with CRT screens and projectors. Not so well with LCDs. Apparently, that's what the "3D TV" is going with, so they either figured out how to make LCD flip images fast enough, or something else is going on. I haven't really caught up on that yet.
4) Polarizer glasses. These are a lot like polarizer shades you'd buy for driving or sailing, except that polarization on two halves is different. So again, it can allow only part of the image through. These are usually used with projectors. Real 3D, which has become real popular in the theaters, uses circular polarization, which takes care of many issues these used to have in the past.
5) VR Goggles. These are the real deal. Two individual mini-displays, one for each eye, generate a virtual 3D screen in front of you. Since each screen is controlled completely separately, and there can be head tracking, this is the best option to create true 3D with a help of the computer.
As far as effects on the laser beam, the first one will refract it, so the beam will be "bent" as it passes through them. And both the shutter glasses and polarizers will have effect on laser beam because laser beam is polarized. You should see the difference by simply rotating the laser pointer around its length axis with these.