It depends on what your purpose is for writing the compare and contrast. If you are trying to show how the underlying concepts are similar, even though the form and function of each medium are different than you can follow basic guidelines of a compare and contrast essay. You need to make sure you have an overall theory that ties the two things together and express it as the thesis of your paper.
A thesis statement tells your reader what the big idea of your paper is and what it is you are going to prove. For a compare and contrast paper, you want to tell your reader how you are relating the two topics and what the main differences are. A thesis statement is usually at the end of your first paragraph. You may need to adjust your thesis statement as your write your essay.
You then need to prove your thesis using specific evidence in your paper. It could be references to outside sources or a thorough explanation of your ideas using your expertise and knowledge.
You can either present all of your information about one topic (art) and then your second topic (cooking) or you can alternate paragraphs between the two topics.
Make sure you are using clear transitions between paragraphs so your reader understands your argument and know which topic you are discussing.