How do I know if a WiFi I'm using is being monitored?

I work at a gas station and they have a WiFi router from Verizon. It has a password, so not public. I always use my Android smartphone when I have free time. I'm concerned my boss is monitoring the WiFi and can see which websites I go on and my usernames and password. How do I know if the WiFi is being monitored? show more I work at a gas station and they have a WiFi router from Verizon. It has a password, so not public. I always use my Android smartphone when I have free time. I'm concerned my boss is monitoring the WiFi and can see which websites I go on and my usernames and password.

How do I know if the WiFi is being monitored?
Update: I'm not going on illegal websites or anything like that, but I'm definitely concerned about my privacy.
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