Follow the prompt (the directions). You start with a salutation (Querido fulano). Then you apologize for not writing before (Discúlpame por no haberte escrito antes). Tell them what you have been doing lately (durante las últimas dos semanas, he estado muy ocupado con las clases, porque ya vamos a terminar el año. También he trabajado mucho en el jardín, etc.).
Lastly, invite them to do something. With the instructions you have, you don't really need a model! Put a greeting, the body (a couple paragraphs), a closing and a valediction.
If someone gives you any more of a model than that in English, they will have done the work for you!