Web Based Portfolios tend to be made in a wide variety of formats, often ones that use proprietary WYSIWYG systems for building the site that are provided by the portfolio hosting site. If you like the format that the hosting site provides you can get that format by choosing that site. Nearly all will offer you a free hosting trial so you can see if their site builder tool is really as easy to use as they say it is, and can often keep it free if you let the host put sponsor ads on your site or limit the amount of images. Advantages of this type of site is that it is primarily laid out for showing images rather than text, so if you are a photographer or other visual artist it is usually simple to use, and very aesthetically pleasing. The disadvantage is, if you decide the hosting site is too limiting, hard to update, or it becomes too expensive, you will need to start from scratch to make a new one.
Wordpress Blog: The Costumer's Manifesto
If you do something where lots of text (as well as pictures), how-tos, or constant adding of new site content is desirable, you may want to go with a blog format instead. WordPress (Links to an external site.) is reasonably easy to work with, though not usually as visually clean as many of the portfolio hosting sites. You can also find hosting for nearly unlimited content storage at low rates because of the huge numbers of WordPress hosts, so if you get in conflict with your hosting site, you can potentially move the whole site to another host.
WordPress is also pretty ubiquitous, so there are heaps of tutorials on how to do things on it: Building a WordPress Portfolio site in an Hour (Links to an external site.) If you want a cleaner "portfolio" look to a WordPress site you can get templates that simplify the look of the site: BUILD a photo PORTFOLIO WEBSITE in UNDER 10 minutes with a FREE WordPress Theme (Links to an external site.)
Digest this advice, and any useful tips you get from your professors, and make your portfolio in the web format you like!