Pro members will have the option to choose which CVs they would like to publish on their profile.
Head to the CV section on Edit Profile and use the eye icon to hide any CVs which you don't want available for download via your profile page. You'll still be able to use hidden CVs to apply for jobs, meaning only the company you apply to will be able to download the file.
By default, any CVs uploaded to your profile will be available for registered company members to download. Other freelancers will need to add you to their network (which you can choose to accept or decline) before they have access to your CV.