Linux itself will not be vulnerable as long as you don't do something silly like give it access to /.
Wine on the other hand is still susceptible to viruses, since it is designed to emulate a Windows environment, however in many cases it is different enough that most nasty code will not have much affect.
Maybe install clam-av and use that to make sure your /home and especially the Cdrive folder stays clean.
You're probably very safe if you don't use Windows internet and social media apps - and you don't really need to because there are good ones available for Ubuntu.