Honestly, it's mostly on a case-by-case basis. So for instance if your character absolutely hates one of the Gods and they hate them back, it would be entirely unrealistic for you to show up and have them just appear and be like "I'm feeling generous, go do this thing and I"ll give you stuff."
I also really try to avoid situations where OOC prizes like VOTG passes and whatnot force the Gods to do anything that isn't organic or that they wouldn't normally do. However it does happen - for instance the Sun God gave Gaucho his glowing markings without Gaucho asking, but that's because Sunny and Gaucho were already in the same place and it made sense. Some Gods are nice like Earthy and might want to just 'help you out' and be like "yo bro, you need to work on this. Go do it" and when you do, he gives you something. Others, like Timey, couldn't give two shits and wouldn't.
So like I said, it's mostly case by case. The best thing to do would be to PM me or the other admin ahead of time and sketch out what you're thinking and then I can give you more specific information.
Does that roughly answer your question?