Basically the bill doesn’t change anything with regard to abortion at all. It retains the status quo. This non-partisan Politifact article explains the situation quite well.
With regard to whether abortion is legal or not, the bill literally changes nothing, and no one is claiming it does. What the abortion debate concerned over the health care bill was about federal funding of abortion. The situation got a bit complicated, and it’s riddled with politics, but basically the Hyde Amendment, which was introduced in 1976 and which gets renewed every year, bans the federal funding of abortion. The objection was this: because this health care bill provides government subsidies to people to help them buy health insurance from private insurance companies - which are allowed to offer abortion coverage - then the government would give people money to buy insurance that covers abortions. That would mean taxpayer-funded abortions, and a lot of taxpayers would not accept that.
To avoid that happening, both versions of the health care bill - the House version and the Senate version - inserted their own abortion amendment. In the House bill, Bart Stupak inserted an amendment which said that anyone accepting federal subsidies simply could not buy a private plan that covered insurance, unless they bought a separate abortion “rider”, paid for with their own money. In the Senate, Ben Nelson inserted an amendment that did allow those accepting federal subsidies to buy private plans including abortion coverage, but they had to set up two accounts: one to receive federal subsidies and to pay for most of their health care, and another, which could not receive subsidies, to pay for abortions. The Senate version is basically what ended up being signed into law. Bart Stupak only agreed to vote for the Senate version after Obama signed an executive order ‘banning federal subsidies for abortion’, but all that order really did was repeat the language already in the bill (it was mainly for political reasons, to give Stupak some cover). Bottom line is, it is still technically and practically illegal to use federal funds to pay for abortions. The bill changes nothing.
Objections
There’s a few different reasons why anti-abortion groups condemned the bill (there are valid concerns, but we have to be careful because there’s also a lot of politics mixed in. A lot Republicans were trying to stir up opposition to the bill any way they could, and abortion was a good flashpoint for doing that). Here’s the ones I know about:
**1) ‘Just bookkeeping’:**The first is that even if people still have to pay for abortions from a separate account, which won’t receive any federal subsidies, anti-abortion groups say that this is just a bookkeeping exercise. Money is fungible, so if federal subsidies pay for someone’s health care, that frees up their money to let them pay for their own abortions, and taxpayers are still effectively funding abortion. I think this objection is very poor: taxpayers also pay for agricultural subsidies for instance, and you could argue that technically “frees up money” to pay for abortions, but it would be ridiculous to suggest that means taxpayers are funding abortions for farmers as a result.
2) Community centers: Some anti-abortion groups have tried to be more clever in their criticism than the argument above, saying that the bill provides billions of dollars in funding to community health centers, which in turn provide abortion services. The problem is, this is false: none of the community centers which receive funding in the bill provide abortion services, because this would be illegal under the Hyde Amendment. I think they have some sort of response about community health centers not funding abortion yet, or something.
3) Abortion rate will rise: Some have simply argued that the health care bill will result in a rise in the rate of abortions, for various reasons I’m not too sure about. But the evidence doesn’t suggest it. Mitt Romney introduced a very similar health care reform in Massachusetts to Obama’s plan, and the number of abortions there dropped afterwards. The health care reforms make it cheaper for people to access birth control, make childbirth itself more affordable (it can be expensive) and provide people more security over whether they’ll be able to afford health insurance for a child.
Catholic groups have come out in support of the bill, pro-choice groups have condemned it for putting needless burdens on people trying to buy abortion coverage, and personally I think the abortion criticisms are primarily a result of people who oppose the bill anyway scanning around for a good flashpoint as a reason for their opposition. But there’s the debate for you. 