well your letter is good but need little improve, I will suggest some points and you can apply whatever you want:
1- you should first introduce yourself, for example: my name is,,,,,,,, I am a fresh graduate or I have graduated since,,,,,,, and currently I am doing or working,,,,,,,,
2- the reason for writing to him, for example: I am writing to ask you for help to find a job as prof ...... suggested in our last meeting or I was searching for a job and then prof,,,, advised me to send an email to you in order to help me.
3- you should mention your motto for the job ( if you are applying for certain job ) or your motto for working in general ( in case there is no certain job ).
4- your skills: if you are applying for certain job you should link your skills by the job requirements. But, if you are applying for job in general: you should mention that you have many skills which qualify you for many jobs and then mention your skills.
5- wish that you could meet him in order to provide him with further details or for an interview then tell him that you attached your CV, etc, and finally thank him for his time.
I finished my suggestions: hope you could get benefit from these suggestions, good luck ;)