You can easily create your Telstra Bigpond email account, look the at steps:
Open your web browser and go to this link - https://signon.telstra.com.au/login
Click on the Register now button and press on Create a Telstra ID option.
Then click on let's get started button.
After that, enter your email address or password and click on next.
Then, enter all your details like name, dob and click on next.
Now, you need to verify your details through your alternate email address and phone number.
You will receive a ONE TIME password on your phone that you need to submit to your account.
You may also need to click on a verification email received in your alternate email address.
Having verified your details, now you can easily login to your Bigpond webmail account.