if i understand you correctly, you just want to put the login box somewhere on your website, on a non-g2 page.
this has been done before, and there should be 2,3 topics in the forums about it.
just browse to your g2, log out. browse to the login screen are if your front page already shows the login box in the sidebar this is also ok.
click in your browser the "show me the (html) source" option (mouse, rightclick, ..).
search for the login <form .... </form> and copy the html to the other page.