No, just a small percentage of people with Graves’ have the eye problems and most of those aren’t too serious.
There is nothing you can do to prevent having eye problems, just don’t worry about it! If you do start noticing some changes with your eyes, get them checked by an Ophthalmologist so he (or she!) can watch for any major problems.
Usually if you do begin having Graves’ Ophthalmopathy, there is not much they will do for it unless the sight is threatened, as mine was. The eye problems will usually subside within a couple of years but but regular exams are needed to watch for complications.