놀라다 is a verb meaning "be surprised".
"surprise" as a noun would be 놀라움 or 놀라운 것 [일].
"Life is full of surprises" may be literally translated as 인생에는 놀라움이 가득해요 [많아요], but it doesn't sound as natural as the English version.
In Korean, one would commonly say 인생은 놀라움의 연속이에요 (Life is a series of surprises), 인생은 놀라움이에요 (Life means a surprise [surprises]), or 인생은 놀라움 그 자체예요 (Life is a surprise itself).
"인생에 많이 놀라 있어요!" is a somewhat awkward phrase meaning "I have been surprised (a lot) by [at] life".