For the record, France's borders and borders of the Schengen area are closed since March 17th, 2020. Since then, only French travelers, cross-border workers and expats can come back to French soil if holding a special certificate. The end of confinement changed nothing.
As he was presenting phase 2 of the containment exit plan, Prime Minister Edouard Philippe announced EU inner borders and French borders will remain closed until June 15, 2020.
"France will be for the reopening of EU inner borders, starting from June 15, if the health situation allows it, of course, without two-week self-isolation for travelers coming from a European country. We will apply reciprocity measures towards EU countries who would decided to close their borders or impose two-week quarantines to French people" he said.
A date already announced this May 7th by Christophe Castaner who explained: "We still need this protection. As for entries and exits out of the European space, a gradual and methodical relaxing of the situation will come in due time and it will be decided with all the States concerned. Borders will remain shut until further notice." "As for our national borders, the one we share with our European neighbors, we have decided to extend the decisions set up, at least up to June 15th. Free movement of cross-border workers will be preserved as it has been since the beginning of the health crisis".