My brand new glowforge doesn’t work

That is the trouble with magic, if you are trying from the start it can be more confusing and a hundred ways “it doesn’t work” like a high mountain that once you know is more a mole hill.

At this point the first assumption should be that you are missing a bit of information. If you go through the startup routine starting with the unboxing and make sure you have a good WiFi connection then you can go to The Dashboard and run a calibration (video here) and walk through the making of the Gift of Good Measure

From that point, you should have a good start and if there are still issues take photos illustrating where the problem is and post them here, lots of folks here can and will help as they can.