My parents run a bed-and-breakfast for skiers.

Literal

Parents [topic-は] skier-use [possessive-の] pension [object-を] are-managing.

ペンション is a loanword from French 'pension' — in Japanese it specifically means a small, usually owner-operated guest house, especially in mountain/ski resort areas. 用 (よう) as a suffix means 'for the use of.' 経営する (to manage/run a business) is the standard verb for operating a business.