Can I get in trouble?

Hello, I work fully remotely for a UK company and I'll be moving to the Netherlands for 4-6 months and then I will be moving back to the UK.

Not sure if that changes anything, but I do have a European passport

My questions:

1. Can I keep my job?
2. Should I tell my boss?
3. Do I need to let anyone know about this from the UK or Netherland government?

Thank you kindly for any information, I'm very nervous about this transition so anything would be much appreciated :)