Surfing the internet with wlan without running?

How can I surf the web with wlan and visit sites without my father being able to see the laptop via the ip and router, etc. Where can I see?

Incognito mode

Is it only in the course of incognito mode enough. You are still not anonymous, but that's enough. If that's not enough you can also use the Tor Browser, but it's slower.

Incognito and VPN but you are never sure