So i just started using zenphoto and i'm using zpArdoise theme.

I'd like to have some page links on my home page like there's Gallery and Archive view right now, but i haven't find way to do it.

There's option to make contact page and news etc but links don't appear on my home page. They come with url myhomepage.com/pages/contact .. and this way other people can't see those pages if i don't send them this specific url.

How could i get contact page etc links to my home page?

Not familiar with this theme if it has support for the menu manager plugin you could modify the menu. Otherwise you will have to modify the theme directly.