partial mash boil

im doing my first partial mash, and its taking a real long time to get my wort up to a boil, now my question is do i boil for an hour once it starts to actually boil, or from the time i added the original wort, to the sparge wort??

not sure I understand the question. You should have one kettle of wort, with all your sparge runnings (regardless of fly vs batch sparge technique).

that goes on the burner, and once it starts to boil, you start your timer. 60 minutes is good unless its pils malt which needs 90 minutes.

Hop schedule starts usually at the 60 minute mark as well, although many like to let the hot break form first, then hop, to avoid extra potential for boilover by having hops already present when hotbreak forms.