I did a summer internship in an industry for 9 week. It was a great experience and my supervisor was a very formal and professional lady. She rarely smiled but appreciated my work every now and then. On my last day, she asked about my graduation date and I told her it’s just 6 months away as it was my last semester. She responded: "Send me your CV when you graduate.”
Now I want to write to her. How do I begin with that? It’s been 6 months and there’s no particular opening in that department. Should I send my CV in the first mail itself? If so should I also include a cover letter? What's the best way to introduce myself?