In infinitey or eternity I do not think there is a sense of past or future or cause and effect. For that matter I don't think there is in this reality either, time is an illusion after all.
However, I don't think that a feeling of past, or "over" would have to be bad. It's all about state of mind, personally I watch my life go by in joy, like reading a good book. In a way, I don't like good books to end, but mostly I love it when they do. Hard to explain really.