The rules are drastically changing on the 14th but up until then, you'll need to show your vaccine card to get on the plane, and you better be sure you've had your booster UNLESS you had your second regular vaccine dose within the last 9 months. You should be able to go through customs like normal but up until the 14th, you'll need visit a local pharmacy and get a Vaccine pass (show them your COVID card and pay ~$40 USD) shortly after arrival to be able to do anything in country (mass transit, museums, restaurants, etc...). I'm told a lot of restaurants and some other establishments are letting people in with just their CDC cards but that's not going to cut it if you get on a train or try to visit the Louvre or some other popular museums...or so I hear anyways.
Good luck, let us know how it goes. I'm going end of the month and am looking forward to it...really glad they are dropping most of the COVID stuff by then.