My partner and I might drive down to Canberra next weekend.
I'm leaving Australia in two weeks and need to see as much as I can. :/
If you can get the car for a bit, and you like the ocean and lookouts and stuff, can I suggest a scenic route? There's a lot you can see on the way if you take a few more days. Head south along the coast and check out stuff north of Wollongong. If you like lookouts, you could through the National Park and stop at a few along the way. I like Bald Hill at Stanwell Tops, and on the right day you can watch people hang gliding off there.
Head south along Lawrence Hargrave Drive, the Sea Cliff bridge is not majorly spectacular but it's pretty cool. I quite like the beach at Austinmer as a quiet place to take the kids, but it's kinda small, so not mandatory. If you like driving through mountains, you could go back up Bulli Pass and head south on the highway. Again, if you like lookouts, you could take a quick detour to the Mount Keira lookout, then come back down Mount Ousley on the highway. If you don't especially like driving through mountains, just rejoin the highway via Fairy Meadow.
If a Buddhist Temple sounds like something that might interest you, the Nan Tien temple is right on the highway. Can't miss it. Keep heading south and I'd recommend turning off at Kiama and seeing if the blowhole is going off. If the tide and swell is right, it could be. Nothing spectacular but kinda cool and it's a nice little town to have lunch in or something. Jamberoo recreation park is nearby too if that looks like your thing. It's not my thing.
Keep going south. The highway will take you towards Berry and people like that town for some reason, but personally I would turn off at Gerringong for the ocean views there and Gerroa. If you think Berry might be your thing, and their donut van is a bit famous, head through Gerroa anyway and take Beach Road into Berry. Head south *through* Nowra (my birthplace but a totally boring town for a tourist) and head towards the Jervis Bay area.
There is so much to see around here that you'll probably be limited by time, so read up on the area and figure out what you would prefer to see. Legend166 mentioned Hyams Beach upthread, and it's worth seeing. Dumb fact: it's in the Guinness Book of records for having the whitest sand. If you want to keep going past there, you'll have to pay $11 for a two day pass, and by then you should know if you want to see more of it or not.
If you prefer ocean facing beaches, go to Currarong and take a walk along the beach there. You could theoretically walk all the way to Culburra along the beach but it's a long way. From there you can also walk around Beecroft headland. There will be a lot of signs talking about the wreck, but there's not much of it left to see. Mermaids Inlet is pretty cool, especially if there's a bit of a swell. If you want to brave the dirt road in your hire car, you could drive out to the lighthouse at Point Perpendicular. If you do go to Currarong, there is only one shop there with sometimes erratic opening hours, so stock up in Nowra or the Callala IGA.
On the way back, instead of heading towards Gerringong etc, go towards Kangaroo Valley. Check out the lookout on Cambewarra mountain. There is a place a bit past the Kangaroo Valley township that advertises that they make the worlds best pies. This is an embellishment, but they're perfectly edible all the same. There's a bunch of stuff to see in the valley. When you're done, head north back up Barrengary mountain. It's worth stopping at the Fitzroy Falls lookout at the top I think. Again, nothing spectacular, but pretty cool on a nice day.
If you like quaint highlands townships for whatever reason, you could go via Bowral and Mittagong before hitting the highway again. Otherwise just go straight to the highway via Sutton Forest, and then on south to Canberra.
Kinda this:
https://www.google.com.au/maps/dir/...490439180!2m2!1d150.3215085!2d-34.5671208!3e0