You will have your own UTS email account that you can use in the INSEARCH computer labs. There are also various internet cafes located throughout Sydney. These cost around A$5 per hour.
The cheapest way to phone overseas is using a phone card. These are available at newsagents and convenience stores. Different phone cards will have different rates. You will need to compare different cards to see which is the cheapest for your country. If you would like a mobile phone, packages start from around A$15 a month plus call costs for a two year contract. You can also buy a pre-paid mobile phone for about A$100.
To post a letter overseas the cost is between $1.10 to $2.60 through Australia Post. Parcels and freight are a lot more expensive and the cost will depend on how much you are sending and where it is going to.