Careful, that also not all the glasses blocks IR, also far IR ..... any organic based ones, yes ..... CR resins for optics, too ..... acrylate, not too much ..... also pure optic crystal don't block them too much .....
Anyway, you're speaking about near IR, 808nm, so no, glass don't block them, at least if isn't treated specifically for do it, or if is not green or blue colored (but also in these cases, is better to check, cause not all the colorants used in glass making blocks ALL the wavelenghts out of the visible spectrum).
To be sure, about IR blocking (and also about IR emitted from green DPSS modules), if you have a webcam, a b/w camera, or also just an old digital camera, they see IR as pink/white (or white, in case of a b/w telecam) so you can see if a particular glass block or not IR ..... and for see the IR that come out from a green, use a IR filter for take away all the visible, then look at the laser out with the camera.
BTW, just cause professional IR filters are absurdly expensive (and after all, you don't need a big one, just one that fit in front of your camera lens), you can get cheap but almost-professional grade IR pass filter, from unexposed diapositive film.
Just ask your photo store to develope for you an UNEXPOSED (this is important, the film MUST be never used, unexposed) DIAPOSITIVE film, specifying to the lab that it's intentional (otherwise, maybe, they just throw it away and say you that the film was wrong) ..... after the developing process, the diapositive film must look totally black and completely opaque to visible light, but if you look through it with IR, usually you see it transparent, or at maximum a little bit dark, like, 5 or 10% less than without it (this depend from brands and developing processes)
I always used diapositive from ilford, agfa and kodak without problems, for IR pass filters, but none can control the developing process ..... i obtained the better results with "provia" films and new developing bath, 98% IR transfer / 99,8% visible blocking, on an optical test machine ..... and if you need it more big than the 35mm size of the common films size, just use a "120" size diapositive film (the ones used in 6x6 photocams)
Only one advice ..... just cause it's completely black, don't use it for look directly at the sun, or inside a DPSS module, or similar, don't even think to do it ..... it block ONLY the visible part, and the IR part can still damage your eye the same !