Ugh, another one? Just how badly bugged is this game?
I bought this game as part of the Interplay promotion. I did not have the problem you are having, but I encountered a game-stopping bug in the Paving the Way mission. You're supposed to protect the Galatea until it can jump out of the system, but when it gets to the jump node, it just sits there for 15+ minutes, turning its ass in circles and getting pounded by asteroids until it blows up. I must have replayed the mission ten times to no avail.
There's another thread on the first page of this board, complaining of issues with other missions as well.
Oh, and my afterburners don't work. They just make a whining sound and do nothing.
I'm concerned that even if you get past the training mission, you still might end up getting stuck later on, like I did. Do you have Freespace 2 as well? If so, I would recommend installing FS2 Open and the Freespace 1 port. Instructions are at the bottom of this thread.
You can play the FS1 campaigns in FS2, and it seems a lot more reliable. After I installed it, I finished Paving the Way on the first try with no problems, and I haven't hit any other show-stopping bugs yet (also, my afterburners actually work).
Optionally you can install upgraded graphics as well, but that's really secondary to being able to play the damn game :/
If you don't have FS2 and if restarting the mission doesn't work, you can just click the "skip training" in the upper right corner of the briefing screen. Training is broken up into multiple missions, so you're really not missing much by skipping the first one.