IANAL, but the bill sounds like it doesn't ban Europeans to enter the country, but waives the right to travel without a visa. It might be possible to enter U.S. by acquiring a visa.
This is correct. I am a European who visited Iran. Before that, I could travel to the U.S. with the ESTA (14$). Now I must ask for a B2 tourist visa, which is valid for 10 years and is multi-entry - but it costs ~160$ and it requires me to have an interview with the consul to prove that I am not going to just not fly back to my country and immigrate into the US permanently.
