It would depend on the type of funeral it is. Some families hold private services, for family and close friends only. Other funerals are open. If there's an obituary, it may provide that info near the end, giving the time and place of the services or saying a private service will be held.

You can call the funeral director to ask for information, if you don't have anyone else to call.

I'm very sorry your T is so ill. Please remember she's still alive until she's not. That's sounds like a strange statement, but it's not unusual for people to prematurely act as if the person is already gone. It might be a nice gesture to send a "thinking of you" card (not a get well card) to her office with a short, kind message. You don't have to say anything profound, just say something like you helped me a lot or you helped a lot of people or thanks for everything you did for me. Even if the office is closed, the card will most likely be forwarded on to her and she'll receive it.

When people are very ill, kind words can lift their spirits and bring a little sunlight into their remaining days.

Two of my Ts, the first and the last, have passed. It's very difficult. My last T's wife told me after he passed how much he appreciated cards and short notes from former clients and students who said in a few words that he'd made a difference. He was too weak to read long messages. Just a line or two was the most appreciated by him.

Please take care and be gentle with yourself. I wish you the best.