Do I have to pay social security for my residence permit in Beijing?

Nothing, this situation has been considered when the New Deal came out. You just need to take the registration card and social security certificate to the police station to apply for a residence permit! See below.

According to the Beijing police, after coordination with the relevant government departments, the certificate of continuous payment of personal income tax for six months or the certificate of continuous payment of social security (five insurances) for six months for the wages and salaries obtained from employment was used as the effective proof of the residence time of the floating population, which solved the problem that only temporary residence permits can prove the residence time of some floating population in Beijing. (The starting and ending time of continuous payment for 6 months refers to pushing continuous payment for 6 months before the last month of the application month. )

Persons who have received residence registration cards and meet the requirements of one of the two new proof materials of residence time can apply for renewal of residence permit at the local police station with residence registration cards and proof materials. For those who have made an appointment online but have not yet received a residence registration card, they can apply for a residence permit online after opening the residence permit business online.

Further reading: How to buy insurance, which is good, and teach you how to avoid these "pits" of insurance.