Most breweries hire part time packaging people for around $10/hour. It isn't uncommon for people new to the industry to have two jobs, one at the brewery and another that consistently gives you a paycheck (in a totally different industry). Asking the brewers questions and shadowing them (while not on the clock) is a great way to learn (if they will let you).
For me, I started part time for $10/hour on a manual canning line. I was lucky enough to get hired full time after about a year (still at $10/hour). As I learned more, I made more. I also had to switch breweries, as the smaller ones tend to make advancement based on other people leaving. 6+ years later I am the head brewer at a small brewery.
One of my bosses once told me, "Brewing requires people to be smart, hard working and poor. If you are smart, you can get an office job that pays better. If you are a hard worker, you can get a construction job that pays more. If you still want to be a brewer, pick up that mop and clean the floor. If you come back tomorrow, maybe I'll show you how we wash kegs."