I think you can see the real snow in Harbin(https://www.travelchinaguide.com/cityguides/heilongjiang/harbin/) then. You may either take a train or a flight from Beijing to Harbin, just choose a proper way according to the Beijing Train Schedule(https://www.travelchinaguide.com/china-trains/beijing-schedule.htm) & Beijing Flights(https://www.travelchinaguide.com/china-flights/cheap-beijing-flights.htm).

Thanks for the reply. How about in Beijing? Does it snow there around February?

Yes, it may snow in Feb in Beijing.

Is it snowing now in Beijing? I am planning to go by 2nd week this Feb. Anyone experiencing snow in China? Thanks.

Currently there is no snow in Beijing. It is too dry. However, you can visit bird nest stadium, they have artificial snow there.
There were light snow at certain nights in Harbin when I was there last week.