The book used a bit of handwavium to describe the steps, which were:
1. "Genetically modify" blue-green algae to survive, and thrive, in Venus' upper atmosphere, and dump tons of it.
2. Wait about 200+ years for the algae to process enough of the carbon dioxide into oxygen, thus reducing the cloud cover enough for sun to shine again on the surface.
However, doing a bit of further reading about this revealed that (my source for this was Wikipedia) that Carl Sagan put forth a paper in Science magazine in 1971 suggesting this very idea, but it was shot down:
Do you think that the prospect of learning how to terraform Venus is valuable enough to do so?Wikipedia wrote:Later discoveries about the conditions on Venus made this particular approach impossible since Venus has too much atmosphere to process and sequester. Even if atmospheric algae could thrive in the hostile and arid environment of Venus's upper atmosphere, any carbon that was fixed in organic form would be liberated as carbon dioxide again as soon as it fell into the hot lower regions.