Hey Dan,
Welcome to the forum, nice to have you on board. This really is a great place to hang out, very friendly and knowledgeable members who are always willing to help out with any questions.
If you do a search you can find quite a few posts having to do with the effects of leaving a springer cocked for extended periods of time. I think there's actually a very informative article about that very subject in the "Library" section.
All my air rifles serve one purpose, hunting. There are plenty of times while hunting where I will have my rifle cocked and ready to go for perhaps 30 minutes to an hour, although I try not to go beyond that time period, and I haven't had any problems yet. If the rifle I'm hunting with is easy to cock what I will do is open the breach just enough to load a pellet and then close it up again. As soon as I see a squirrel, rabbit, or whatever, I'll quickly cock the rifle and I'm ready. A couple of my magnum rifles are really a bear for me to cock so with those I'll walk around with it cocked, simply because they take 2 hands for me to cock and by the time I'm done with the cocking action the squirrel or rabbit has moved out of my target picture. I'm just relating information from my personal experiences, I'm sure some of the other members who are much more knowledgeable than me about this topic will chime in and offer advice also.
As for the G-1 EXtreme of yours,,,, I just picked one of those up and I absolutely love it. I just ordered a GRT III trigger from Bob aka: charliedatuna, his website is listed on the forum pages, if you find your stock G-1 trigger to be rather crude then Bobs triggers are the best $32 bucks you can spend. I have his trigger in quite a few other rifles and the trigger literally transforms the gun. Can't wait to get the trigger in my new G-1.
Anyway, welcome to the forums, and I'll be looking forward to your future posts..
JEff