Thank You Note If you go from PRN to Full Time?

Hey Fellow Nurses,

I am a new grad nurse and I've been working at my facility about 2 mths now. I was hired PRN and was told that I could apply for full time after orientation. I applied last week for a full time position and met with the DON today. I was offered the postion but nothing official yet since she still needs to talk to HR. I know its not official until I get it in writing but I feel good about it. Question though is, should I send her a thank you note? Even though I was hired PRN, I have been working full time hours ever since so the only thing that really changes is I get benefits and PTO.