The study in the article looked at hiring discrimination. The study focused on the tested and established method of correspondence testing to measure active discrimination, in this case response rates to job applications.

Gender segregation, ie what fields are dominated by which gender, is related but quite different. For Swedish numbers I can strongly recommend the primary source (https://www.scb.se/hitta-statistik/statistik-efter-amne/arbe...), collected by the Swedish tax agency and published by the government agency for statistics. The only major drawback is that it is a lot of information and its hard to locate the exact thing (Just choosing the right database interfaces can be hard).

That said, in this case, we can mostly identify the correct numbers. Librarian is a female dominated professions with a ratio of 2:1 (found through the database interface that lists profession and gender), with a similar gender ratio in favor of women for manager levels in the government sector (https://www.scb.se/hitta-statistik/statistik-efter-amne/arbe...).

It should be noted that Sweden has a very high level of gender segregation, and that segregation occurs based on multiple attributes.