I come back to tell you that I will run a simulation of you so we can go bowling together

Presumably you create a sim-me which includes the experience of having this conversation with you (the AI).

do you or do you not expect to experience bowling with me in the future, and why?

Let me interpret the term "expect" concretely as "I better go practice bowling now, so that sim-me can do well against you later" (assuming I hate losing). If I don't particularly enjoy bowling and rather do something else, how much effort is warranted vs doing something I like?

The answer is not unambiguous and depends on how much I (meat-me) care about future sim-me having fun and not embarrassing sim-self. If sim-me continues on after meat-me passes away, I care very much about sim-me's well being. On the other hand, if the sim-me program is halted after the bowling game, then I (meat-me) don't care much about that sim-loser. After all, meat-me (who will not go bowling) will continue to exist, at least for a while. You might feel differently about sim-you, of course. There is a whole range of possible scenarios here. Feel free to specify one in more detail.

TL;DR: If the simulation will be the only copy of "me" in existence, I act as if I expect to experience bowling.