Collective ownership of the means of production is the defining characteristic of socialism and by this it is meant the ownership of the means of production by all members of a group, namely the whole society.
This contrasts with public ownership, the type of thing that you are talking about and which refers to government provision of goods and services; the commercial or business activities of the state.
Incidentally, the biggest company in Australia is Wesfarmers with revenues of about 48 billion.
"In 2016–17, the Australian Government spent around $158.6 billion on social security and welfare. This category of expenditure includes a broad range of payments and services including:
most income support payments such as pensions and allowances (for example, Newstart)
family payments such as Family Tax Benefit
paid parental leave pay
child care fee assistance payments
funding for aged care services
funding for disability services and
payments and services for veterans and their dependents."
