For starters, the entrance to the balcony you start on has two pillars. There is an elevator you can ignore. Notice the long stretch where you can push the pillars over the side? Stack them one atop the other.
Push them both towards here position. There is a notch in a fountain area just aside some sort of platform *Greek names I don't know*.
Ascend the Platform, cross using the stacked pillars, reach the vines, begin timed bit to finally reach the plate held by Athena where a cutscene will play in you having rescued the Oracle.