When he pushed open the window, a sea of green came into view.
Tips
usage
眼帘 is mostly literary and almost always appears in the fixed pattern 映入眼帘 ('to be reflected into one's eyes') or 进入眼帘 - both meaning 'to come into view / catch one's eye'. In everyday speech, use 看到 (to see) or 注意到 (to notice) instead.
memory
帘 by itself means 'curtain' (e.g. 窗帘 window curtain), so 眼帘 reads literally as 'eye-curtain' - the eyelid pictured as a small drape over the eye. The whole compound then stretches metaphorically to mean 'what falls within the eyes' = field of vision.