Yes, but those government services are funded using taxes, so yes, you ARE entitled to those services. You are not entitled to the use of any private service.
Effectively, the entire internet is privatized. To put another way, it is impossible to access those government websites without using a private service.
And since the government does not provide an email system, you still need to use a private service to access those public resources.
And since the government does not provide an email system, you still need to use a private service to access those public resources.