Apparently she was very surprised.

Literal

She [topic-は] very was-surprised [apparently-らしい].

~らしい is the evidential ending for 'apparently / it seems' — based on indirect evidence or hearsay rather than direct observation. The speaker isn't asserting she was surprised but reporting it on the basis of something else (a third party, a report, observable signs). Distinct from ~そうだ (visual inference), ~ようだ (a more reasoned 'seems'), and ~みたい (casual 'like'). All four cluster around 'inference' but draw on different evidence types.