Will my conditions work on my PDF fillable form?

If I create a PDF for so that is can be done offline, do I need to do anything else to make sure the conditional logic shows up on the PDF?

Unfortunately, conditions will not work on PDF fillable forms as they need resources that cannot be interpreted by a PDF viewer and a web browser is required. 

I would recommend you to take a look on this link where you will find more  information about PDF fillable forms and which features are available there: https://www.jotform.com/help/312-JotForm-Fillable-PDF-Creator-with-All-Points#Do-Conditions-Work-in-Fillable-PDFs 

I hope this helps.