Can time capsule and airport express utility see my browsing history I am a lodger in someone else's house.  They have a time capsule, various airport express base stations and several wifi networks configured.

I am delegated to only use network 1 and I am wondering, can the landlord, using airport express utility see my browsing activity i.e. the actual websites and URLs that I visit?
In principle they can since it is the same as a public server. 

However, if you are using the HTPPS mode then it will become difficult for them to encrypt it.