For admission, an English proficiency equivalent to that of Eiken Level 1 would be required.
In order to apply, a score of 900 or above in TOEIC is required.
"For admission"=「入学には」
"an English proficiency equivalent to that of Eiken Level 1"=「英検一級と同等な英語の能力」
"would be required"=「が必要となります」
(second sentence)
"In order to apply"=「応募するためには」
"a score of 900 or above in TOEIC"=「TOEIC で900点以上」
"is required"=「が必要です。」