This means not to stop an action but to do it more or longer. You use it when something goes on without ending.
Please continue reading your book.
They continue to play after school.
In computing, continue means to carry on running software after it has been stopped or paused temporarily.
Press 'continue' to run the program.
The code continues after the pause.
This use is for when someone keeps talking or giving information without stopping.
She continued telling the story.
Please continue your explanation.
This meaning is used in legal or formal contexts where rules, rights, or agreements stay valid and active.
The court continues to have jurisdiction.
The contract continues until next year.
Grammar use of continue shows that one action or state goes on directly after another.
He continued talking when I arrived.
They continue working despite the rain.