Have you ever played thr gane Black and White? I think that would be the best representation of what a god gets from their worshipers.
For those who haven't played. There were 3 manor factors on how you the player (who is a god) influenced the world. You had a sphere of influence, this sphere expanded the more worshipers you had, and where they were. In other words when you converted towns and cities to your religion, you were able to use your powers there, how you made that happen would be up to you. You had your avatar, which was your physical representative of you, who could travel outside your sphere of influence and interact with the world, and you had your worshipers. You gained magic point when they worshiped you. The more of them you had, the faster your power grew. If you were the evil type, you would get a big boost sacrificing them, and if really evil, a lot more power if the sacrifices were children.
Most gods don't care if you love or hate them, they only care that you worship. If you speak theur name, they can instantly see and hear everything going on around them. For the most part they vidw mortals as we would view ants. Most mortals lead small insignificant lives that they may stop and gaze at for a few minutes before moving on to more important things. Do gods take interest in individual mortals? Sure, if you are remarkable enough to gain their interest. (Rules wise, my persona opinion is if you are over level 11, there's a chance a god will become interested in you if for whatever reason you enter their view a.k.a., help further or hinder their agenda). Clerics and paladins on the other hand has a special relationship with their gods. If above level 11, a god will know their name and actually hear their prayers. Level 6 and above spells are given by the god consciously whereas 5 and below are automatic. A god will feel if one of these people die, because it will actually be a blow to their power on that plane. And I said on the plane fir a reason, remember when a worshiper dies, the god can claim the soul of that worshiper if they choose to. Usually with clerics, paladins and devout followers, it's a given. Also they may claim the souls of powerful followers that might not have been as devout (aka Lloth has made Drizzt D'Urden her champion and will claim his soul when he dies even though he hates her and want nothing to do with her). This is pretty long, but these are my thoughts on the matter. I hope it helps.