My training ship docked in Callao Peru. I went to Lima and visited the cathedral. They had Pizarro under glass.
If you stay fairly anonymous, you may have a choice.
I've had Pizarro under glass, tasted like chicken. It was served with a side of lima beans.
The remains will at this cemetery will likely be preserved and to some extent studied (DNA, isotopes), and not displayed anywhere. The artifacts will be displayed, probably in a newly built or newly renovated spot. Hopefully they won't (or maybe will) uncover more stuff when digging that foundation. :^)