Well, as I said, it would feel like thoughts popping into my head, ideas occurring to me, in short, mental processes happening to me (or perhaps with me) that then cause me to act in certain ways. So I think it would look exactly the way it looks now!
As for your examples, I don’t think they’re good ones, as they imply that you will one thing, but are forces to do another—i.e. are constrained to do something against your will. But of course, this presupposes the existence of a will.
If a person’s actions are ultimately robotic, then it makes the concept of divine judgement silly. On a personal level, rejecting the concept of freewill makes me more tolerant of people who need emotional support to keep their lives in order. I still hold people responsible for their actions, because that’s necessary for society to work and I’m programmed to want society to work, but I’m not Randian about it.
I mean it in the reductionist sense - as Dennett outlines in Consciousness Explained, there’s lots of experimental evidence to show that what we are conscious of, is really just a veneer we apply to our thought processes after they happen, and it’s a narrative that’s always being edited, too.