You can do a fair bit yourself if you have binoculars and a star chart. With binocs, you can see the rings of Saturn and the four large moons of Jupiter, as well as pretty good definition on the moon. If you don't have binoculars, you can admire the Milky Way and that's about all.

Where else are you going? Uluru is not the only place in Australia with dark skies.

Thanks for the replies. We’re driving up the coast from Sydney to the Sunshine Coast with stops in Maitland, Newcastle, Armidale, and Dorrigo to visit family and friends.

I appreciate the notes about how much better the experience is with telescope or binoculars.

Is it possible to walk to a good viewing spot from the resort at Yulara?

Yes there are some dunes around but don’t wander off too far..

watch out for snakes too.

Star tour is well worth / but obs weather dependant.

You may want to check on the moon phases for your specific dates. Stargazing is better around the new moon. They probably schedule tours accordingly.

https://www.timeanddate.com/moon/phases/australia/uluru?year=2023

Fwiw, I recently came across this tidbit of information on the Parks Australia site, which pertains to "astrophotography" but presumably applies to just plain stargazing as well:

Astrophotography

Central Australia is a superb place to photograph the night sky, and the silhouette of Uluru against the Milky Way has become an iconic Australian shot.

However, all visitors need to exit the national park by closing time. That means that any night-sky shots have to be taken from outside the park.

A great spot for astrophotography is an elevated lookout on top of a sand dune beside the Lasseter Highway, about halfway between the park entry station and Ayers Rock Resort. Other lookouts around the resort area offer good alternatives.

https://parksaustralia.gov.au/uluru/do/photography/