In my 5-paragraph essay, I say "my goal of becoming a doctor" or "to become a doctor" at least 4 times. What can I say instead of become?

The thesaurus may help, depending on the various sentences.

http://thesaurus.reference.com/browse/become

However, you'll probably do better to isolate each usage of these words and work on rephrasing the entire idea or sentence. If you want further help on this, be sure to post your whole paper.

How about "my career" or "my goal," since you have already specified that you want to be a doctor?

Instead of using the word "become" multiple times, you can employ a variety of synonyms to convey the same meaning in your 5-paragraph essay. Here are a few alternatives to consider:

1. "My aspiration/dream of pursuing a career in medicine as a doctor..."
2. "I aim to fulfill my ambition of becoming a doctor..."
3. "My objective is to attain the title of a doctor..."
4. "I strive to achieve my goal of practicing medicine as a doctor..."

Remember, it is essential to maintain clarity and coherence in your writing. Using a combination of these synonyms will add variety to your essay while effectively communicating your intention to become a doctor.