Paris First Week of December

Some places to start

https://www.operadeparis.fr/en/season-17-18
http://chatelet-theatre.com/en
https://quefaire.paris.fr/

Street noise would depend on among other things, the floor the apartment is on, the direction apt is facing, whether or not its windows are double vitrage.

The apartment is on the 4th floor, facing the river and Notre Dame. I have no idea about the windows.

The area is heavily trafficked, in tourist central, subject to all the noises a big city with a huge tourist population has. How noise tolerant are you? Only you can answer that.

To protect yourself, you should also check this forum and other web locations for information on the Paris crackdown on illegal short term apartment rentals, as you will be arriving after the Dec. 1st date for mandatory short term apt. rental registration,

The bells of Notre Dame would bother me considerably...
There will be a lot of traffic, due to sirens from police and ambulances coming from the Prefecture. Also a lot of bus noise.

The apartment should have a 13-digit registration number on the website. If it does not appear, it is an illegal apartment.

You have to subscribe to the Opera Bastille, if you want seats - very hard to get.
Sometimes there are productions at Opera Garnier during December.
This gives most of the productions in Paris, but you have to know what to look for:
http://www.billetreduc.com

After you secure your lodging. Here is something wonderful to do for an delightful evening in Paris.
The Christmas Markets will be in full swing all over Europe !! You don't need to shop - just wander around and see the sights and enjoy a mug of nice warm Glugwein.

Link to the Christmas Markets

Concert at Ste Chapelle ? I think they do Vivaldi's "Four Seasons" a lot. But I would prefer walking around (lights along the Seine at night!) ... and eating, of course. Or evening cruise.

There are lots of other Marches de Noel in the city of Paris, but not at the Champs-Elysees, this year.
Here's the list:
www.parisinfo.com/decouvrir-paris/les-grands-rendez-vous/noel-a-paris/les-marches-de-noel-a-paris/les-marches-de-noel

We were able to buy tickets for the upcoming performance of La Bohème at Opéra Bastille, and we don't have a subscription. The website does, however, require you to create an account before paying with a credit card. Tickets for popular items do sell out early.

http://www.operadeparis.fr/

Creating an account at the Opera Bastille is the same thing as making a subscription.
The difference is that you will be notified of all the events at the Opera Bastille, and the Opera Garnier.