Website: A website, as the name suggests, is a central location that includes multiple web pages that are maintained by a person or organization and is accessible to anyone, anywhere at any time using the internet. For example, US Fish & Wildlife Service website.
Web page: Web page, as the name suggests, is a document or a single page of the website displayed in a web browser and makeup the WWW (World Wide Web). For instance, see a webpage on the US Fish & Wildlife Service website.
Why is it important to know the difference?
If you are using information that you found on a web page in a research assignment, you will need to cite it. Since the point of citations is to give your readers a path back to the information you used -- you must be as exact as possible.
For example: Let's say you're writing a paper about bumble bees, and you used information from the page we mentioned above. If you cite the US Fish & Wildlife Service website (instead of the page itself), your reader will have a hard time finding that specific bumble bee information.