Students admitted to a summer language institute are responsible for making their own living arrangements.
You can find rates and application information on the Summer Term Housing website: https://www.housing.wisc.edu/residence-halls/assignments/summer/.
Want to take a course on campus this summer but need a place to live? Summer Housing Boost can help by covering your stay in University Housing in Kronshage Hall.
See the Summer Term website for information about how to apply for the Summer Housing Boost.
There are also off-campus housing options available throughout Madison. A good starting point for finding off-campus housing is the Campus Area Housing website: https://campusareahousing.wisc.edu/.