Just before serving piping hot, scatter a few chopped chives over.
Remarks
You can buy the brioches ready made from the baker, but they are likely to be sweet, so this is not a good idea unless you enjoy sweet-savoury combinations.
Use a cheese with plenty of character and enough flavour to contrast with the blander egg and brioche (I love using Comté, Laguiole or Reblochon for this).