Preexisting law forbids federal funds ever being used to fund or pay for abortions. That does not change in this law.
There was some flap about it because some folks said that the fact some private insurance policies may cover abortion procedures, combined with the fact that some folks may get federal help in paying for insurance premiums if their income is below a certain level, led to concern that it was a 'back door' approach to federally funding abortions. That is why some democrats (e.g. Stupak, etc.)were not going to support the bill, unless Obama promised to reaffirm the ban on federal funds being used in any way.
That is why Obama came out with that Executive Order today, reaffirming that no federal funds can be used to pay for abortions, period. That was the confirmation that Stupak et.al. wanted to get them to support the Senate version of the bill.