Install a Greek keyboard in Windows.
Start > Control Panel > Regional and Language Options (and from then
on it differs between XP and Vista, but it's not too hard to figure
out what to do).
Once you're back out on the desktop, you'll have a new square icon
near the right end of the desltp status bar with "EN." Click on that
and you can switch to Greek ("EL").
For an onscreen keyboard, go to Start > All Programs > Accesories >
Accessibility (the names are slightly different in Vista and XP) and
choose the On-Screen Keyboard; you can pin it to the Start menu or to
the status bar.
With the cursor in a Word document, switch to EL, be sure the cursor
is in the document, and move the cursor over the on-screen keyboard;
it switches to show you the Greek letters. You can click on them, or
you can type using it as a guide.