With Temporary Protective Status, the member states of the European Union must afford you with certain rights.
You can read more about these rights here at the website of the European Commission.
Temporary Protection Status
Question: Can I travel to other EU countries when I have Temporary Protection Status?
Answer: Yes, if you have been granted the Temporary Protection Status, the European Commission has ensured that you may still move freely among the member states of the EU. Please read more on the European Commission site.