They have something resembling Christmas, yes, but it's mostly commercial aspects only. Religion of any kind, including their native Faith of Buddhism, is very tentatively tolerated as long as it is never more than a sort of hobby. For a few years there was an outright ban on public celebrations of any Western holidays at all, but the ban has diminished now to something that basically amounts to "don't put more emphasis on Western festivals than on our own," which (and I don't say this very often in China) actually makes a degree of sense.
For comparison, it doesn't bother me overmuch that there are Eid celebrations in America, but if the Empire State Building lit up for Eid the same year that the Macy's Thanksgiving Day Parade was cancelled, I'd have something to say.

Long-winded prattling aside, thank you kindly for your wellwishes. God bless, and Merry Christmas.