From asharq alawsat: Israel ’s Arkia Airways and Qatar Airways Sign Deal:
"The Jerusalem Post, which reported the agreement, indicated that Israeli passport holders would be allowed to travel from Tel Aviv to the Jordanian capital Amman on board Arkia flights and then continue their journey, using the same ticket, on Qatar Airways."
That's not saying that Israelis can enter Qatar, or even transit through Doha International Airport, but Israelis can fly on Qatar's planes. I wonder how popular it will be.
[EDIT: I misread the article the first time. The article does say "The airline said in a statement that under the deal, Israelis would not need a visa to be in the transit area in Qatar's airport."]