It is well recognised that analysing your own games is one of the best learning tools available to a chess player. You will be advancing your own learning, so what does it matter what you look like!
It may be difficult to record the whole game in G/15 but you should be able to record enough to enable you to learn sufficiently from it.
Hey, I'm new to the game and I just started going to clubs about a week ago. If I bring a notebook to record my moves will I look like a fruitcake? Also, will it really be worth the time if we're playing G/15's?