*nods* For me, it was definitely important to feel that I could go and climb completely on my own, with no-one watching me and no pressure and no self-consciousness.

For indoor bouldering on your own, the absolutely essential thing is knowing how to fall, and being comfortable with that; if you're taking more classes, it could be worth asking to spend a bit of time practicing how to fall (and jump) off the bouldering wall, if they don't specifically teach that. Getting stuck at the top of the bouldering wall and feeling you can't get down is not fun!

The aim is to land with your weight on both feet evenly and let your legs "crumple" to absorb the impact; injuries tend to come from landing unevenly and twisting something.

But I would second what jumpuphigh said and say that I've found climbers to be very friendly and socially accepting: I've ended up spending far more time interacting and chatting with people than I would ever have expected would be possible for me in any context.

If you're doing more classes, you'll also get to know other people at the wall that way. And it's worth asking the staff if there's a bulletin board or if they know people who are looking for climbing partners. I think you'd find it a lot easier to find a partner than you expect, if that's what you want to do.