Caching the retrieved results for future follow-up page 2 queries is nontrivial. It’s also not clear if it’s worth it, the number of requests going to page 2 ar

Caching the retrieved results for future follow-up page 2 queries is nontrivial. It’s also not clear if it’s worth it, the number of requests going to page 2 are in the lower percentages at best, maybe even <1%. So what you typically do instead is to just issue a new query and request 20 instead of 10 results, drop the first 10, and voila, there is your page 2. I do not know if this is how google websearch does it though.