I have to disagree on information given here since I personally use a free to use android app which is a great network monitoring tool, which works right out of the box. It is very good at giving me insights into what apps are connecting with which domains, and even shows how much data is transfered for each connection. So I’d say @fes should have a look at Rethink on F-Droid or on Rethink on Google Play store.
I think it’s so amazing and useable I’d donate if it wasn’t for the fact I don’t have those payment methods.