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The h-index is calculated within the Web of Science. To get to the Web of Science, go to the Databases page and choose "Web of Science" in the Most Popular box.
Once you're at the Web of Science you can search for the author's h-index by choosing "Author Search." Enter the last name and initial(s) (don't enter a first name). You'll get a list of articles matching the criteria. If it's not an unusual name, you'll probably need to find an article by the correct author; click on the author's hyperlinked name to get a list of all that author's publications.
On the author's page, to the right of the list of publications in a box titled Citation Network, you'll see the h-index for that author.
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