Yup, internet connections in the Cabin Crew apartments is an issue.
There are a few options. One is going to one of many internet cafes, where getting on line is fairly cheap.
Some cabin crew friends go to Costa Coffee, where if you buy a cup of coffee they give you a internet password valid for an hour or more so you can surf with your wireless connection on your laptop while getting your caffeine fix.
BATELCO also used to sell (they probably still do) dial-up internet connection cards for a few dinars. Then you only need to be on good terms with your flat-mates to use the phone line for an extended period of time.
Welcome to Gulf Air and good luck with your training.