OpenOffice.org will just pick up whatever fonts you've got on your system. As someone who's worked with a lot of desktop publishing projects and who's mostly on Windows, I have a lot of fonts.
But let's say you don't have a lot of fonts, and you want more fonts for OpenOffice.
OpenOffice is there for you. In 2.1 there's a link from the Wizards to an installation site.
Choose File > Wizards > Install Fonts From Web.
Just follow the wizard through. Here are the windows.
Click on English and here's the text you see.
===========================
FontOOo
Version
1.6.1
FontOOo
is a wizard allowing free fonts installation.
FontOOo
is a wizard to simplify the downloading and installation of selected,
high-quality fonts available on the internet. License restrictions
prevent these fonts from being directly shipped as part of
OpenOffice.org but do allow end-user installation and use for no
cost. Please carefully read and follow the license for each of the
fonts you install.
Click the
button to start the wizard
Notes:
You
will have to restart OpenOffice.org and the quickstarter to see your
new fonts.
FontOOo
only works at OpenOffice.org level and no font is installed at
operating system level
This
wizard is licensed under the terms of the LGPL, available here:
http://www.opensource.org/licenses/lgpl-license.php
Author:
Laurent Godard – © 2004–2006
– [email protected]
===========================

Select available fonts. If they're dimmed, click Next and select any that are available.

I selected all these and installed them.
Selectwhat you want installed and click Next. The process will run. Restart OpenOffice.org and the quickstarter when you're done.