First week in Australia

Know your way around where you live.  Transport schedules, bus stops, train stations, tram stops.
Public Transport Victoria has a comprehensive website.  It will give you almost all necessary details you need to know to get to your destination from your starting point.

It is important to know that Victoria's public transport system uses a unified ticketing system called Myki. It is a prepaid card that you put money in (top-up) and pay on the bus, train, tram by touching on (as you get on) and touching off (as you get off) on a proximity machine.  Money in the card will be deducted according to the zone you are traveling from and to.  Melbourne is divided into Zone 1 and Zone 2.  Traveling within the same zone is cheaper than traveling between zones.  You can read more about in on the Myki website.

Know your way around especially to areas where your prospective employers are.  Know how to get there and back.  I took the whole day to get to my interview location and back.  It was worth it as I was early on the day of the interview even with public transport.

If you will be driving as soon as you arrive, you have to get yourself familiar with driving around Melbourne.  It was a big adjustment from my driving style from the Philippines.  Traffic laws are obeyed because fines and penalties are expensive, on top of that, you will accumulate demerit points that when it adds up may suspend or cancel your license.  Download and study the guide to Solo Driving in Victoria.  If you think you will be driving in the CBD, learn how to do the hook turn, it is only implemented in Melbourne downtown and YouTube offers a few hook-turn how-to guide.

Know where the groceries are.  Coles is one of the biggest of the many grocery shops you can find around Melbourne.  You can buy prepaid SIM cards and phone credits through their cashiers.  You can even take money out from your savings account on top of what you pay for, they call it cash-outs.

Language.  Although Australia is an English speaking country, I found myself sometimes struggling to understand some words spoken by Australians.  So be patient, in time, you will become familiar as you hear them everyday.  Watch TV more often, listen to FM radio stations as much as you can, in that way, you can get yourself up to speed with Australian words and accents.

People.  Australia, Melbourne in particular is a melting pot of race and culture.  It will be very obvious if you take public transport and go to groceries all the time.  Indians, Chinese, and Vietnamese are everywhere.  I rarely see Filipinos in downtown Melbourne or on trains, we're like gems, hard to find (grin).  Race aside, Melbourne greatly respects the different races that forms its population.

Banks and ATMs.  As soon as you arrive in Australia, find a bank that is nearest your home or your work place, whichever you prefer.  Open a savings account with them and keep your money there.  Make sure that the bank has more than enough ATM machines available in places you frequent.  It will be expensive to take out money from a different bank's ATM.  I chose Westpac as it was recommended by a friend and it has branches near where I live and work.