Tess: Your prof. is all gloom and doom. Without being a cockeyed
optimist, there are opportunities for you if you are patient before
you get your masters degree. You can: volunteer (no pay), get an
internship (some pay, some don't), or try for an entry level job
such as clerk-typist, museum aide, or assistant to the assistant in
some area of museum work...even be a guard or a gardener. Just get
IN, and ask questions, observe all parts of the museum, and work
above and beyond your job description! It happens all the time.
An internship can be a great learning experience for you, and I think
you are wise to try working before you get your masters. You will be more
aware of the direction you may want to go.