I should clarify my position: I am NOT a union member and don't represent their interests. I ended up passing on my spot in their program.
So I am not trying to discourage you. Just keep in mind that it's very hard to get into the union when times are tough like they are now, and having a referral can make all the difference.
When construction was booming in the late 90's' early 00's, the union was taking anyone they could get. Now that work is slow, it may be even harder as many locals have many people out of work. They will be hesistant to take on even more apprentices.
Peter D.