I'm not sure how many mW your actual laser is putting out since they vary. I've read that in many cases, actual output is lower than what is stated. But assuming you're getting "at least" 30 mW, then that can be dangerous if you hit a reflective surface such as glass or metal. I recommend getting safety goggles rated for 532nm (if I'm correct in assuming your Nova laser is green).
Even a 30mW produces a very bright spot. There probably is an IR filter, as most laser manufacturers employ them. However, if your laser does indeed peak around 80 (could be more or less), then definately your biggest danger would be back-reflection.
If looking at the dot hurts, then don't do it. If you get goggles you can still see the spot and the beam at night, but they will provide excellent safety. I've used goggles for a 1 Watt (1000 mW) argon laser, at a slightly different green (514nm), and I could stare at the dot with them on. Look for OD (optical density) of at least 3 or 4.