Hi,
OneDrive for Business refers to the Office 2013 application used to sync SharePoint libraries to your computer. The name OneDrive for Business is also used to describe the library available with personal sites when you sign in to SharePoint Online or SharePoint Server 2013.
Based on the description, you haven't started with Office 365 yet, you will need SharePoint 2013 to use OneDrive for Business then.
In this forum we mainly discuss questions about Office product, if you need more suggestions about SharePoint, please post the question in the corresponding forum:
https://social.technet.microsoft.com/Forums/office/en-US/home?category=sharepoint
Regards,
Melon Chen
TechNet Community Su