The bear struck in the forests of Västerbotten's Bjurholm, biting the woman on the face and head, reported the Aftonbladet newspaper.
The woman was still conscious after the attack, and contacted emergency services who took her to the Umeå hospital.
Police have sent two professional hunters to the scene of the attack.
It remains unknown what the woman was doing in forest, nor why the bear attacked her.
It marks the second time in recent weeks that a bear has attacked someone in Sweden, after a hunter was mauled in central Sweden in late August.