Many Canberra nature reserves have been reviewed on Australian Hiker.
Cycling is permitted in 30 of the Canberra Nature Park reserves. Information from the Management Plan 2019 can be found in OpenStreetMap. The rideable reserves are previewed here.
Much of the recreational riding in Canberra are in areas controlled by the National Capital Authority.
For a strategy to be implement it must be specified in detail what the vague ambition means in concrete terms. Putting the financial cost of infrastructure to one side, what does it mean to build a bike path. For this the urban planning practitioners need a specification.