How do actual software engineers use AI tools?

Hey, so I've seen a lot of people rave about cursor and Claude code. Thinking that I should keep my skills share and adapt to the growing changes in the market, I decided to give Cursor a go. I just don't get it.

Do you just generate code and be okay with it? Personally I find reviewing every line of code to be a lot more mentally taxing and lot more work than writing code. Also I don't see how I'll keep up the diligence.

Am I missing something here?