Stupid mistake here. Today at home using my work computer I logged into my gmail on Chrome to check my personal email. I then went to look something up in google and saw several google search suggestions that I only typed in on my home computer; I don't have sync on, but I guess google searches are shared between devices if you're logged in on the same google account.
Is there any way for my work to see my google search history. I double checked and it doesn't seem websites/all browsing history or anything is shared, it's just that in Chrome google autofills certain past searches whenever I type.