There was some debate about whether this is actually Pinus halapensis or P. brutia. I'm not sure whether anyone has definitively identified it or not yet. The RSL grew a lot of these and gave one tree to each school in Australia so there are lots of them around. You can also find Pinus halapensis on farms in the drier parts of Australia where they grow well.
You can certainly gather some seed and grow seedlings.
Pine cones open up late summer and drop the seeds. If it gets wet the cones close up again and look perfect but there are few seeds inside so try to get cones early for best seed. Put the cones in a warm place for a few days and they should slowly open and the seeds will come out.
I usually sow the seed straight away. Sometimes they will germinate quickly and you will have little seedlings through winter - don't worry they are tough enough to keep growing even if it gets cold. Some pine seeds do not grow until the end of winter because they need to go through cold before starting. That's why you should sow seed before winter. Just keep them damp and outside so they can experience cold then they start to grow in spring. Plant pine seeds in any good potting mix. Cover the seeds with about 1cm of potting mix and just wait.
You can see some more information about growing pine seedlings in this thread
viewtopic.php?f=9&t=24852&hilit=+pine+seedling and on Shibui Bonsai site
https://shibuibonsai.com.au/?p=366