In a way that is very strange or unreal, like in a dream.
The word 'surreally' makes people think of strange and unreal things, like a dream or a very odd story.
Examples:
The movie was so strange, it felt surreally.
She surreally found herself in a land of talking animals.
The colors in the painting were surreally bright.
The cat danced surreally on the roof.
The cake was so good, it tasted surreally delicious.
The idea of a flying car is surreally amazing.