Condolences from a student to a professor

I have a professor I really care about and our professional relationship as a student/teacher has been growing in a positive direction. The professor has been really kind to me in many ways including giving personal/academic advise and providing motivation towards certain goals.
My professor has been gone, without word, for an extended period of time...
I got stupid and curious, and using Google, I figured out the professor lost an important loved one.
I now feel ashamed because I know I violated the professors privacy; however, now that I know my first instinct is of empathy and to give my condolences to my professor.
Now the more I think about it, I don’t want to say anything so that I don’t disrespect our relationship, but I feel that giving my condolences is the “right” thing to do when someone you care about is in pain, but I only am aware of the situation because I already disrespected our relationship.
I’m frustrated and confused. Could any lecturers or professors give me some guidance?

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