There's a lot of daily life stuff that's inaccessible to archaeologists, but we do have some sense of what life would have been like for Maya royalty.

The Maya view of the supernatural was largely contractual. That is, humans have an end of the bargain that we have to hold up and, if we do, the gods will hold up their end. Ancient Maya inscriptions tell us a lot about those sorts of responsibilities (although they always need to be taken as the propaganda that they are) with many descriptions of rulers' bloodletting rituals (http://research.famsi.org/montgomery_dictionary/mt_entry.php?id=1357&lsearch=ch&search=scatter), exploits in the Mesoamerican ballgame (http://research.famsi.org/montgomery_dictionary/mt_entry.php?id=1243&lsearch=a&search=ballgame), or dedication rites (http://research.famsi.org/montgomery_dictionary/mt_entry.php?id=730&lsearch=o&search=dedication). Successful military campaigns and diplomatic journeys to other cities were also often chronicled in art and inscriptions.

Palace scenes in artwork (e.g., http://research.mayavase.com/kerrmaya_hires.php?vase=4096) might give us a little extra sense of what courtly life would have looked like. In this particular case we're being told a lot of the same stories. The person on the right is holding an obsidian or pyrite mirror, which would have been used for communicating with the supernatural. At their feet is a basket filled with bloody cloth which would have been burned during similar rituals (deities or ancestors are often depicted emerging from "vision serpents" which come from the smoke of such baskets: https://vignette.wikia.nocookie.net/cryptidz/images/d/d2/Vision_Serpent.jpeg/revision/latest?cb=20170505164429). We also see a seated ruler next to a shield to emphasize his military power and two other nobles paying tribute.

So the stories we're getting from the inscriptions and iconography paint a pretty clear picture of what rulers were doing, but it's not clear to us how embellished those accounts are. We'd love to look to the archaeological record to corroborate claims like these, but what we find in the archaeological record has limitations too. The vast majority of what we have to work with is garbage or objects that were intentionally buried. We can learn a lot from that, but ceremonial spaces tend to be particularly difficult on us because they were kept so clean and the trash was deposited elsewhere.