Summary: France opens to vaccinated Americans and most EU citizens with proof. You apparently show proof as you board your aircraft. There are some qualifications and restrictions.
Choose your favorite online news source and search for "France Opens" to get some of the facts followed by your favorite style of reactions. (Disregard hits for "French Open", which is a different thing.)
Excerpted from story at Fortune BY SOPHIE MELLOR:
"The U.S. has been put on France’s “orange list.” Starting June 9, vaccinated Americans will finally be able to travel to Paris with proof of a negative COVID-19 test.
"France is currently allowing any vaccinated individual from within the EU to enter the country without a negative PCR or antigen test. The vaccines accepted by France are those recognized by the European Medicines Agency, which include Pfizer, Moderna, AstraZeneca, and Johnson & Johnson.
"This is welcome news for the country, which generates a huge amount of revenue from American tourists. In 2019 alone, 2.2 million people from the United States visited the French capital."