Myklebust is a postdoc at the University of Oslo, Faculty of Law (Department of Private Law). She has work experience from the Financial Markets Department and the Asset Management Department in the Ministry of Finance, the Norwegian Supreme Court and as a deputy judge. She is a member of the Council on Ethics for the Norwegian Government Pension Fund and has previously been a member of Norway's Climate Risk Commission (NOU 2018: 17). Myklebust has authored several publications in the area of financial market law.

Myklebust holds a Master's degree in Law from the University of Oslo, a MSc (by research) from the University of Oxford and a PhD in law from the University of Oslo.