How to get the colour of text in Word?

Yes, use the format painter.

1. Select the text you want to copy the formatting from
2. Click on the "format painter" button. It looks like a yellow paintbrush. In 2003 it is just to the left of undo. In 2007 it is on the "Home" tab toward the left side of the ribbon.

3. Drag through any text you want to see in the same color.

Notes: It doesn't just do color. It does all formatting

If you want to apply the formatting to multiple pieces of text, double click the format painter button instead of single clicking and you can apply it as much as you want. When you are done, just de-select the painter or hit the "escape" key

If you want to actually find the RGB colour of the text rather than just copying it then:

1. Select the text you're interested in
2. Right click on the text and choose Font from the context menu (or just hit ctrl-D)
3. Click the down arrow to the right of the Font color setting, then click More Colors
4. Click the Custom tab, and you'll see the RGB value of the colour.