There should be no problem sending links of profiles to non-members. Off the top of my head, I would say that is a good thing, as it may encourage new members.
On any profile you manage, there is a button 'Profile (Public View)' if you click that, you can see what a visitor will see. Of course, profiles of Living people are still mostly hidden as per privacy regulations.
At the bottom of a profile, just above comments, there is a button 'Cousin Bait' which will show you other ways of attracting new members.