If you are having supervised contact the staff will write a summary of what happened at the session. You might see them writing or typing notes that help them remember what happened, but sometimes they have a great memory and will not need to take these notes whilst the session is happening.
Staff will record anything they consider relevant and this will often extend beyond just the session itself.
If you are unsure whether notes are being taken its ok to ask about this and the centre will be able to tell you if they are taking notes and who they will be sharing these with.
If there are no other professionals working with your family the centre will have agreed who to give the notes too. If there are other professionals, they would usually be able to see these notes. These professionals might then use these to think about the future and what might be best.
If you are having supported contact, you will not usually see any notes being taken. Supported centres will make notes about dates and times that you use the centre, but they will not make any notes about what happens within the session itself. If a centre has safeguarding concerns these will be shared in writing with relevant authorities in order to ensure the safety of children.