By

Jessica Derschowitz /

CBS News/ October 11, 2012, 5:00 PM

Robin Roberts goes home from hospital

Robin Roberts is shown during a broadcast of "Good Morning America" on Aug. 20, 2012, in New York.

Robin Roberts is shown during a broadcast of "Good Morning America" on Aug. 20, 2012, in New York. / AP/ABC

"Good Morning America" co-host Robin Roberts reached a new milestone in her recovery following a bone marrow transplant last month -- she's now home from the hospital.

"Home Sweet Home. That has never had quite so much meaning before," she wrote on the show's blog. "After exactly one month in the hospital dreaming of this day, I am finally home."

Roberts also shared the news with fans and well-wishers via Twitter:

But, she added, her recovery isn't over yet.

"I am considered 21 days old," she explained in her latest blog post. "That's how long it has been since my transplant. Remember when you brought your baby home for the first time? Your precious bundle didn't leave the house much and you were careful that anyone who came in contact with your child was healthy."

17 Photos

Robin Roberts

With that in mind, she said she "will still be resting away from 'GMA' until I'm given the all clear."

Roberts, 51, is being treated for myelodysplastic syndrome, a rare blood and bone marrow disease, and revealed that she's feeling optimistic about her progress.

"Each day I get stronger and stronger. I am fond of saying, 'This Too Shall Pass,'" she wrote. "And even in some dark moments, of which there are still a few, I now see that light at the end of the tunnel. This too really shall pass."

© 2012 CBS Interactive Inc. All Rights Reserved.