Technicly getting hit in the eye with anything over 5mW is dangerous.
Wearing the proper wavelength safety glasses you will Not see the beam but you will see the spot but it won't be the same color as the laser, more of a flouresent color.
If you see a beam then you have the wrong glasses for the wavelength or they are cheap and worthless and don't use them..
Glasses protect and come in different ranges from 190nm to 450nm, 190nm to 540nm and 560nm to 750nm, so you might need a few pairs depending on what you buy..
I don't know to what power level your buying but "usually" pointing outside at night glasses aren't needed. Indoors there are dangers such as reflections. If you are to burn the spot gets intense and very uncomfortable to the eye's plus all the other usual dangers involved.
Getting a good pair of glasses like "Eagles" is highly recommended and you can get a VLT of 50% meaning the visible light transmission will let you see a little better of what you might be burning but you still will not see the beam..