You’re not alone. According to a support document posted by Apple, the company is aware of the issue, which affects owners of only the new 13-inch model, and is currently looking for a fix.
The good news is that it seems like this is something Apple will be able to solve with a software or firmware update, so you won’t have to give up your brand new hardware to get it working again. The bad news is that until Apple releases its update, you have to shut your MacBook to put it into sleep for a minute to “reset” the trackpad before it will work again. But hey, while it’s annoying, it sure beats having a trackpad that doesn’t work at all.