Could you give us some suggestion on trip to Yosemite?

We will have a trip to west coast in May this year. As part of it, we plan to drive from San Diego to Yosemite, then to San Francisco, starting from 05/10 (San Diego), leaving on 05/12(San Francisco International Airport).

May I ask if the snow chain is required? I am not sure if the glacier point open or not at that time. Moreover, since the time is so tight, could you give us some suggestion on trip to Yosemite?

Thank you very much!