The Democratic Party platform (available as PDF) contains the following:
Protecting A Woman’s Right to Choose. The Democratic Party strongly and unequivocally supports Roe v. Wade and a woman’s right to make decisions regarding her pregnancy, including a safe and legal abortion, regardless of ability to pay. We oppose any and all efforts to weaken or undermine that right. Abortion is an intensely personal decision between a woman, her family, her doctor, and her clergy; there is no place for politicians or government to get in the way. We also recognize that health care and education help reduce the number of unintended pregnancies and thereby also reduce the need for abortions. We strongly and unequivocally support a woman’s decision to have a child by providing affordable health care and ensuring the availability of and access to programs that help women during pregnancy and after the birth of a child, including caring adoption programs.
The Weekly Standard notes that from 1992 to 2008, the Democratic platform stated that the party wanted to make abortion "rare"a word since dropped from the platform. And:
That last part--"regardless of ability to pay"--is an endorsement of taxpayer-funded abortions, a policy that President Obama has personally endorsed. Obama wants Medicaid to pay directly for elective abortions, and Obamacare will allow beneficiaries to use federal subsidies to purchase health care plans that cover elective abortions. According to a 2009 Quinnipiac poll, 72 percent of voters oppose public funding of abortion and 23 percent support it.
The Democratic Party convention opens today in Charlotte and will conclude on Thursday when President Obama accepts his party's nomination.