There's no quote in the article, or clip in the video, that shows Pelosi saying it was bipartisan.
More here.
She only uses the word "bipartisan" in reference to the hearings on the legislation, but the context appears to be her arguing that the ACA was a product of a bipartisan process different from what's going on now -- which isn't true.
I think the headline expresses the gist of what she was saying, though it puts it in a more condensed and pointed form that's more likely to generate indignant responses.
A conversation about the process of "reconciliation" -- a technical term -- is pretty opaque to the rest of the country and goes right over our heads, so it does have to be put into other words.
If you wonder how come politicians are able to say the outrageously untrue things they say and get away with it, the answer is that what you read online isn't exactly what they're saying, though it often accurately reflects what they're trying to do.
Passage under the 60 vote rule would have required bi-partisan support.