If you are too shy like A, you lose.
Learn to put your pride aside, suck it up and ask her out for a date.
It doesnt matter if u get turned down. At least you know it is not your shyness that caused her to reject you.
A can ask G out for lunch or movie together. then talk about go walk walk together and talk. A can talk about:
G's exams (how's your exams coming?)
G's school stuff
G's family
A's life (interesting things that happened to you)
A's friends
anything normal. can just talk. if A can't even have a normal conversation cum gossip session with G, something is terribly wrong. wdever it is, A should act asap. cos 4 months of not seeing each other is not a good start. start seeing each other. the talking part will come naturally after a few dates.
