Start your CV by including information about your educational background. As a graduate student, you'll want to highlight your education, since you likely won't have much experience as a faculty member. List your degrees from highest to lowest.
Include a section describing your dissertation in about 150 words. This dissertation abstract is commonly included in CVs. If you are a Master's student, you can include an abstract of your thesis if it is pertinent to the position you are applying for.
Highlight your teaching experience. Include your position title and a descriptive title of the courses you have taught. It's not necessary to include detailed information about a course such as a description of major assignments assigned in the course.
Include your research experience if you have any formal experience in a lab or field setting. Include the position title, location and dates of your research experience. In this section, you can provide a short description of the research you conducted.
Write a list of publications. If you have more than one type of publication, be sure to separate them by type. For example, separate refereed journal articles from conference proceedings, as these two types of publications hold a different level of prestige. Highlight your refereed journal articles first, as they are the most prestigious. Separating publication types will show the reader that you understand the hierarchy in publications.
Include professional experience. This may not be pertinent for academic jobs, so only include it if it is relevant to the position you are trying to obtain.
List your service accomplishments. An important aspect of academia is service, so be sure to include any academic committees and other service accomplishments you have. For example, you can include being a peer reviewer for journal articles or leading a workshop for your University.
Include information about awards and other honors. Be sure to include any grant money you have accrued, as this can be very enticing to a potential employer.