Your permit needs to be picked up by the person who applied for it, or a previously-designated alternate. In the past, a tag was given for each member of the group, to be attached to each person's pack where it is visible. I assume the routine is the same this year. All members of the group do not have to be present at the time the permit is picked up. You can also call a couple days ahead (phone # in the packet you received with your confirmation letter), and have the permit & tags left in the overnight box at the ranger station where they can be picked up after-hours the evening before your climb.
Good luck with your climb! We're both old, and "old-timers" on Whitney (over 60 & still going!). We'll be heading up July 5 for our 14th time. Blaze a nice trail thru all that snow for us!