I see some Lemmy results quite fine. Google results need some time to be indexed.

Lemmy is not opimized for google. There is some consideration when you run a full-javascript app like Lemmy, and to the best of my knowledge, Lemmy didn't follow their guideline.

It'll take some time to settle everything up

It can take weeks for things to show up in a search engine and then it might not be ranked highly if it is. Right now Lemmy does show up in search results, you can see if you search for site:Lemmy.world, it's just ranked low. Give it time and have more people post here and eventually things will show up closer to the top of google search results.

I'm sure it will be someday, but it's so new, I don't think the devs are focused on that right now. Mostly, I want them to focus on fixing the platform right now and making it better. Stuff like better mod tools, better local sorting and filtering, some better discoverability and searching features, universal @mentions, better ways to interface with other servers, etc. It will come in time, I'm sure. I think lemmy and activitypub as a whole weren't quite ready for the reddit exodus.