for travelers from those countries who are legal permanent residents of the United States, dual nationals who use a passport from another country and those who have been granted asylum or refu­gee status. Anyone who holds a visa now should be able to get into the country without any problems, though those whose visas expire will have to reapply, officials said.

Is it still a Muslim ban? Yes, says AILA, (American Immigration Lawyers Association) in the WAPO article:

“In its oral argument before the 9th Circuit, the government was unable to provide any evidence to the 9th Circuit that acts of terrorism had been committed by the nationals of seven countries initially designated. That was an embarrassment, but now weeks later, in these preliminary fact sheets, they still have not explained why people from these countries pose risk to America’s national security.”

AILA has an excellent resource page here. Here's their "Fact Sheet" on today's ban.