Your school's nursing program may want you to submit a health history and urine drug screen, which will test positive for the suboxone if you're still taking it. (Whatever you do, do NOT stop it on your own---you need your therapist and your p-doc in the loop when you do wean off the medication.) That's OK, just be sure to have your prescription bottle with you and tell the collector about it when you test.
I am concerned about you, however, because you've been 'clean' for a relatively short time. Nursing school
and coming off the suboxone may not even be advisable for a while. Are you certain that it wouldn't be better to start the program in another year or so, when you've had more clean time under your belt and you're more sure of who you are in sobriety? I ask this because I remember my own experiences with early recovery (my drug of choice was alcohol) and how unsure of myself I was the first couple of years.
Then, and only then, did I feel I was 'safe' enough to enter a nursing program. And I was very honest and asked the program director if the department---and the board of nursing---would have an issue with my history. She said, "If it's no longer a problem for you, it won't be a problem for the school OR the board." But it did help that I had a solid two years sobriety behind me when I started college, and a full five years when I became an RN.
Bottom line, you need to talk to the powers that be of the nursing program you're planning to attend, tell them your story, and share what you've learned and how you're amending your life so that using illegal drugs won't be an issue in the future. They can better direct you and give you an idea of your chances with the BON.
Wishing you the best!