Hi Linda,
You can have create both. But you can only have ONE profile (personal
account) and as many pages as you want.
The profile (personal) is meant to be focussed around you. You use
your profile to network with others and make friends. So, it's all
about interacting with others as you.
With the page, you can use it to promote your business. You can create
a page for your business, for example, or you can create a page about
a particular subject that you are interested in or you can create a page
about you as a professional.
Here's one of my pages if you need an example,
http://www.facebook.com/pages/WebBriefcase/8742134105
And then there's also Facebook Groups
but we'll leave that to later.
Hope that clears things up a bit.