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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...
http://sdltridionworld.com/community/extension_overview/pdf_creator.aspx
http://sdltridionworld.com/releases/release_news/connector_2009_for_indesign_released.aspx
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
- iTextSharp
- wkhtmltopdf
- ExpertPDF
- QuickPDF Library
- ABCpdf
- DynamicPDF
- PDFSharp
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.