Not sure whether the Last Night will be broadcast live, but maybe you can use the catch-up service in Australia.
They are showing it live in UK TV -- first half on BBC2 and second half on BBC1. If you're able to get access to the BBC's catch-up-service then you can probably watch it on that -- but only after it's all over. They won't do it live. https://www.bbc.co.uk/iplayer