Personally I would not.
I learned my lesson why the hard way.
I know this may not be the case for everyone, but I know you were diagnosed later in life as I was. I first introduced myself to a lady at the pump clinic i was attending thinking "Oh finally someone i can talk to in person about diabetic problems!" and then I felt foolish. I felt foolish because all the standard questions arose "How are you? When were you diagnosed? How do you manage?" etc... I found out that she had been with T1 for decades longer then I, had many complications, and knew little about 'modern' management... So when she asked me my answers seemed much to close to bragging and I really felt like I came off terribly :/
The moral here is - Just because you share 1 thing in common doesn't make you friends lol
Its similar to gender, or race, or age in the workplace. I think I would let it happen organically, if it never comes up then it never does... Or maybe i would test in front of her giving her the opening if she chooses to talk to you about it.
But there are so many negative things that people go through with this disease that i would approach it with caution if i haven't gone through any of those negative things.
Thats just my opinion, and personally if I was approached by someone I would be fine with it because i think I am handling it well, if i was handling it poorly i wouldn't want to talk to anyone about it ever lol