This comes from President-Elect Obama's Transition website.
Support for the LGBT Community
"While we have come a long way since the Stonewall riots in 1969, we still have a lot of work to do. Too often, the issue of LGBT rights is exploited by those seeking to divide us. But at its core, this issue is about who we are as Americans. It's about whether this nation is going to live up to its founding promise of equality by treating all its citizens with dignity and respect."
-- Barack Obama, June 1, 2007
The Obama-Biden Plan
Fight Workplace Discrimination: Barack Obama supports the Employment Non-Discrimination Act, and believes that our anti-discrimination employment laws should be expanded to include sexual orientation and gender identity. While an increasing number of employers have extended benefits to their employees' domestic partners, discrimination based on sexual orientation in the workplace occurs with no federal legal remedy. Obama also sponsored legislation in the Illinois State Senate that would ban employment discrimination on the basis of sexual orientation.
Support Full Civil Unions and Federal Rights for LGBT Couples: Barack Obama supports full civil unions that give same-sex couples legal rights and privileges equal to those of married couples. Obama also believes we need to repeal the Defense of Marriage Act and enact legislation that would ensure that the 1,100+ federal legal rights and benefits currently provided on the basis of marital status are extended to same-sex couples in civil unions and other legally-recognized unions. These rights and benefits include the right to assist a loved one in times of emergency, the right to equal health insurance and other employment benefits, and property rights.
Oppose a Constitutional Ban on Same-Sex Marriage: Barack Obama voted against the Federal Marriage Amendment in 2006 which would have defined marriage as between a man and a woman and prevented judicial extension of marriage-like rights to same-sex or other unmarried couples.
Repeal Don't Ask-Don't Tell: Barack Obama agrees with former Chairman of the Joint Chiefs of Staff John Shalikashvili and other military experts that we need to repeal the "don't ask, don't tell" policy. The key test for military service should be patriotism, a sense of duty, and a willingness to serve. Discrimination should be prohibited. The U.S. government has spent millions of dollars replacing troops kicked out of the military because of their sexual orientation. Additionally, more than 300 language experts have been fired under this policy, including more than 50 who are fluent in Arabic. Obama will work with military leaders to repeal the current policy and ensure it helps accomplish our national defense goals.
You can read more here.