I think the increase of search comes after the price rise, not the other way around.
More likely. As the price of Bitcoin last year surged into the $20K level, the mainstream media had been trumpeting the rise and there were so many positive coverage back then and that in turn resulted into many people using the Google search to find out more about Bitcoin. I am sure that Bitcoin will remain to be on the top search keywords for this year and maybe even beyond.
Maybe there's some sort of chicken and egg going on here, but either way, one has caused the other and has made bitcoin more popular. It's not a surprise that many have attempted to search about bitcoin on google or any other search engine because it's such an unfamiliar term to most - so when there was so much hype for it last 2017, people's curiosity sparked up. Whether this has caused the price to rise, I think it's good that many have been searching about bitcoin in google.