This game does not itself connect to the internet or collect any data.
Once in a while it might ask to be rated on Google Play (if it has never been rated before) but this starts Google Play.
You can also open the Google Play page to buy an unlocker for the game (to play it without any nag screens) but this also opens the Google Play app.
For the rest this app is completely free, does not store any data apart from the highscore table and will only open other apps as mentioned above.