Exaggerated. According to Socialstyrelsen (the government agency in charge of the health care system), the intensive care capacity of regular hospitals has slightly more than doubled: From 526 places before the crisis to 1131 places as of April 24. Source: Socialstyrelsen. Of those places, 533 are currently used for patients with Covid-19.
Note that this does not include the capacity from military tent hospitals that are not yet in use. The number of ICU places with ventilators they will have is unclear, but appears to be around 50-100 in total according to media reports, which is not enough to satisfy the claim of three times as many.