I have XP firewall is on, found out these are not spying sites thank you.

Now the issue i do have on hand is this. My father will try to spy on me. This does not bother me at all being that I have nothing to hide. He is my father and I believe he has the right to know what im doing. I don't think he knows I know, and I don't want him to. I would like to know though, if he does somehow set something up, will i be able to tell its running? I am connected through a wireless network to his computers. So what can he actually do without me knowing?