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Your question does imply from Word to PDF - if this is the case then you can easily use the Word Save As add-on (there are other options - note the version of Word is likely a dependancy) and there's a good example here.
Original Answer Assumed publishing directly to PDF
So, this is an age-old question of (m)any CMS!
Back in Tridion 2009 (I do see you're on 2013) there were Tridion modules...
And then into the recent years there are services mentioned from Nuno and others to consider are listed below (taken from the detailed post here by Pankaj
- QuickPDF Library
You can also integrate with Office and save a Word document as PDF - depends just how structured your content is
Perhaps you can try a couple and post any specific questions you might have in another post?
As noted above, do consider that any service you use will still benefit from
- a well thought out and
- implemented workflow given the PDF content
- should be reviewed and acknowledged as such
Moreso in your case as the organisation already uses workflow - you could easily put the workflow into a suspended state, send for/create the PDF, re-activate workflow to have someone sign-off acceptance of the suitability of the PDF.