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The Ministry for the Hajj in Saudi Arabia states
Umrah requirements based on arrival from
Australia Dear Muβtamir You can develop your Umrah trip directly through any of the approved platforms https://www.nusuk.sa/
Looking at the requirements (button on the upper-left of the Nusuk site) for an Australian citizen on the linked site, they have indeed the option to apply online or on arrival for that visa
For Indians, it is a bit more complicated :
Choosing India in the wizard, you have to state :
Are you a US, UK or EU permanent residents or a US, UK or Schengen visa holder?
IMPORTANT : The permanent resident word means that a regular, time-limited, Residence Permit of Schengen and the UK will not work. A US Green Card, a UK Indefinite Leave to Remain, or an EU long-term residence permit will work for those purposes.
And
Are you a GCC resident?
(GCC is a regional union comprising Bahrain, Kuwait, Oman, Qatar, Saudi Arabia, and the United Arab Emirates)
If it is an affirmative to the first, visa on arrival is available to you.
If it is an affirmative to the second, an e-visa is available to you.
If neither, you need to contact an authorized travel agency and organize your Umrah for you as part of a package with your visa, you can't do it yourself