What China shouldn't do is copy methods used in the west to increase birth rates. They're usually financial incentives or tax breaks, and don't usually work. They are used because there aren't any other options in the west to increase fertility rates.
The advantage of being a one party country is you can actually enact policies that work. Limit and ban contraception and abortions (unless you have already had a preselected number of children), limit career progression for unmarried or childless adults. Make sure media and entertainment promotes family values rather than western ones.
Aiming for a TFR of 3 should be the eventual goal and can easily be achieved within a decade. It will be seen as cruel and oppressive by the west, but most people are happy to have children and is not as bad as the one child policy.