Most of the question has been answered, but I want to pick up on the most important one.
First thing, is it okay to ping for every 1 minute to check the network?
No. It is not OK.
It is wasteful
You are consuming Google's resources. Resources that you are not paying for. If everyone did what you are doing it would cost Google a lot of money ... to run a much larger fleet of DNS servers, etc to cope with bazillions of vacuous connections.
You are also consuming resources in the along the route from the user's app to Google with the (unnecessary) network traffic.
This would also apply if you were doing real (ICMP) pings, though not to the same extent.
And bear in mind, this is also consuming electricity. And that means more fossil fuel is burned.
It may be incurring costs for the user
Depending on the what their mobile phone plan is, this may be costing the user of your app network charges. Each of those connections your App is making probably being metered. If they are not aware of this ... or they can't turn this (mis-)feature off, they could get rather annoyed about this. (I would be!)
It doesn't actually work
What you are doing doesn't actually test if the internet is available. What you are actually doing is seeing if your App can connect to the Google DNS services. But the fact that the DNS server is accepting connections doesn't mean that the real services that the user wants to use will be accessible and working. (And vice versa!)
As you noted, connections will occasionally fail for reasons that are probably due to transient problems that resolve themselves. There is nothing you can do about that. That could be a false negative for the internet being "up".
Even if there was a reliable way to find out if the internet is "working", your "pinging" is only giving you a single sample. The internet could go "down" (or come back "up") any time in the up to 60 seconds between your pings. More false negatives and positives.
And as noted, Google DNS is not the same as "the internet", and "the internet" is not the same as the service that the user of you App is really interested in.
Your app doesn't REALLY need this information
The user does not need to know minute by minute that the internet is available.
Most of the time a typical user is doing something else.
They only actually need to know if they are actively using some service. And even then, knowing that the internet was up 60 seconds ago is probably no help to them.
Unfortunately, the only way that the user can tell if the service they are talking to is available right now ... is to actually try to use it.
So what is the real solution?
IMO, there are two approaches:
Forget it. In most cases, the user really doesn't need to know. It is not actually going to materially effect the user if your App does not distinguish "service down" from "internet down".
If you can't forget it.
- Implement an end-point on your service that you can ping ... and pay the bills!
- If you are trying to implement this in an App where you are talking to someone else's services, stop free-loading on Google. If you want an "internet is up/down" feature in your App, implement your own service for doing this ... and pay the bills.
Note that you will still have false positives and false negatives to deal with. There is no solution to that. It is a fundamental property of the internet.