I have a subscription to Xbox Live, prepaid through some time next year. So far, I've been downloading each Games with Gold title as they've become available, to try them out and to make sure they're added to my library. However, I'm not sure whether that's actually necessary.
I will be traveling for a couple of months and won't be able to access my console. Will I miss out on the Games with Gold titles for the time I'm away, or are they automatically added to my games library even if I don't install them, so they'll be waiting when I get back?