Is there a programmatic way to find out if my app has been rated?

In my android app, I want to display a dialog requesting the user to rate my app on the play store/market. This I want to do only if the user hadn't rated already. Please let me know if there is a way to do so.

Can you see who rated your app?

It is not possible to know automatically how rated your app. A good practice that I suggest is to select the best momment to rate in order to get a better review.

How to check app rating?

Open Play Console and go to the Testing feedback page (Ratings and reviews > Testing feedback). Decide how you want to browse your feedback. Filter: To see beta feedback based on certain criteria like date, language, reply state, app version, device, and more, select from the available filters.

No, You can't access the Market activity. Just you can check the review in Play.