。
Try closing your eyes.
Literal
Eyes [obj-を] close [try-ごらん].
~てごらん is a gentle, encouraging way to say 'try doing X' — softer than ~てみなさい and warmer than ~てみて. Typically used by parents, teachers, or close friends. ごらん is the honorific imperative of 見る, but here it's grammaticalized into a light auxiliary.