Cursive script in East Asia is a special way of writing that uses connected lines and loops to make words. You might have learned how to write letters one by one, like A, B, C. But in cursive writing, the letters are all joined together, so it looks like your whole hand is drawing one long line.
Imagine you're drawing a picture of a fish. You start by drawing the tail, then the body and the head, and finally the fins. Cursive writing is like drawing a fish, except instead of lines, you're drawing letters.
In East Asia, cursive script is used to write certain types of documents or poems. It's considered more artistic and flowing than regular writing. It can be hard to read at first, but once you get used to it, it's very pretty to look at.