If your MacBook has a normal DVI connector (the MacBook Pro models had one), you can connect any monitor with a DVI input to it, regardless of its brand.

In general, Apple computers work with all kinds of monitors, not just those from Apple – given the right connector. Note that if your MacBook (white plastic one) uses a Mini-DVI connector, you'll need an adapter or cable from Mini-DVI → DVI to hook it up to the display.
For example, if your MacBook looks like this:

You need a Mini-DVI to DVI converter:

You'd only run into compatibility issues if the MacBook uses the new Thunderbolt connector and the display "just" uses Mini DisplayPort. This does not apply to your case, but for those interested, see here for more info: Can I connect a DisplayPort monitor to the Thunderbolt port on a Mac, and vice-versa?