It is free. To be legal in the U.S. all contests have to be free to enter. You may need to mail in or follow special instructions to enter, but they all have to be free (other than the cost of providing your information that is!)
Here's their terms copied from the entry page:
NO PURCHASE OR PAYMENT OF ANY KIND IS NECESSARY TO ENTER OR WIN THIS SWEEPSTAKES. A purchase does not increase or improve chances of winning. Void where prohibited by law. Unless otherwise exempted or excluded herein, the Sweepstakes is open only to legal residents of the 49 United States and the District of Columbia (Rhode Island excluded), age 18 or older at the time of entry ("Entrant"). The Sweepstakes begins at 12:01AM Pacific Time ("PT") on November 1, 2014 and ends at 11:59 PM PT on November 25, 2014 ("Sweepstakes Period"). Winners will be selected in a random drawing held within 10 days from the end of the Sweepstakes Period from among all eligible entries received up to the date of the drawing. The Administrator will notify the potential winners by telephone (if available), email, and publication of the names on Newegg's Facebook page (www.facebook.com/Newegg) and on the EggXpert website at www.eggxpert.com following the drawing date. NOT SPONSORED BY FACEBOOK. Odds of winning depend upon the number of eligible entries received during the Sweepstakes Period. One entry per person or email address during the Sweepstakes Period. Entries may be submitted on the above form. For additional terms and conditions, please refer to the Official Rules.
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