Commonwealth, State and Territory governments can rely on a very broad exception in the Copyright Act – section 183 - to use copyright material without permission, providing they are doing so for “the services of” the relevant government. (This provision is also available to many government agencies, but not to local councils.)
Section 183 also allows a government to request other people and organisations – including libraries – to copy on their behalf. So if you receive a request to supply a copy of something to a government, you may generally do so without infringing copyright.
However, in this situation, the terms and conditions of the subscription agreement may prevent you supplying to people outside your organisation. So, before copying articles you access via a subscription, check the subscription terms and conditions.
It is, however, more than likely that you would be entitled to copy the articles from the open access site. From a resources point of view, however, you might consider whether you will copy the materials or send the client a link to the articles so they can copy them themselves.