does seat of power trigger if you move onto forgotten monument on your 2nd turn? (no conq)

I think the question wasn't phrased all that well, so I changed the answer to also include what I think Yoga wanted to know.

Seat of Power's ability says "here," so it only triggers when you conquer Seat of Power itself — conquering anywhere else wouldn't trigger it regardless of the turn. However, Forgotten Monument's "Players can't score here until their third turn" prevents the entire scoring action — including conquering — before turn 3, and no conquer means no conquer triggers fire. But you can still move a unit there and establish control, but since scoring is prevented, no Conquer occurs (see the Forgotten Monument FAQ ruling). You can control Forgotten Monument even though you can't score it before your third turn. This means that when you conquer Seat of Power while you are controlling Forgotten Monument, you will draw 1 from the Seat of Power trigger. Even if this is before your third turn.