Most hotels in most cities around China have internet access, even the budget hotels. Some hotels will have a pc in the room and others will gladly supply a pc for a small extra charge. Nearly all of the budget chain hotels; 7 Days Inn, Welcome Inns, Home Inns etc have free wi-fi access, also 1 or 2 pcs in the reception area that can be used by guests. It's commonplace for bars and coffee shops to have free wi-fi available for patrons, if the access code is not on the table, just ask the waiter.
Don't forget to buy a plug adapter for charging and also don't get too frustrated with the slow internet speed and the unavailability of some websites. Have a great trip!
BTW, I live in China.