Sorry, this is not quite correct. The draft law states that any information prohibited for distribution by a Russian court can be blocked, and Russian courts are notorious for banning all sorts of data under the rubric of "anti-extremism" laws. The criteria in the draft law are extremely subjective, and coupled with the near-total absence of recourse (and such recourse as is given is to Russian courts, which does not inspire confidence in many) this is a very dangerous thing indeed.
http://www.minjust.ru/nko/fedspisok
This list contains some URLs that ISPs are supposed to block.
Most of those are either dead or not blocked in practice (it's really hard to force it on ISPs), but it might become reality one day.
ISPs are not required to block this. It's a list of so called extremist materials, mainly some radical religious books, nationalist and racist propaganda and such.
Basically, to break the law you have to publish or distribute them, but I can access every url listed.
Correct. In any case, I would not trust the government and courts of any country with such a huge loophole ("anything that might become banned in the future"), let along those of Russia.
The biggest problem with those lists is that any courthouse from a tiny town in a middle of nowhere has the power to add resource to the federal list. People who do not understand what they are doing.
Thus we have seen the whole lib.ru being added there at some point, along with some parts of Quran declared extremist materials.
And now they want some random NGO to be compiling their own list of paedophile resources. They'll have all the control without much responsibility, hurray.