Computer, enhance! While these resources don't have voice search enabled (yet), you can use them to find in-universe information about everything from the timeline to tribbles.
Memory Alpha is the internet's premier reference source for Star Trek TV series and movies. Containing over 60,000 articles, this collaborative effort is a great place to start your research.
Memory Beta is a counterpart resource to Memory Alpha, focusing on Star Trek's many licensed novels, games, comic books, and other works. These works are not considered strictly "canon" in the way that the TV series and movies are, which is why Memory Beta is separate from Memory Alpha.
Search the scripts of Star Trek TV series with this resource. You can search for a word or phrase, filter by series, and see your selected result in full context.
Star Trek Minutiae delivers multiple reference sources in one package. Compare different starships, calculate warp speed, brush up on the Rules of Acquisition, and more.
Interested in more information about a particular character or crew beyond the TV series and movies? Use the Open Library's Star Trek Collection to further your search beyond the screen.
RIKER: Data, I need help in locating some library computer information.
DATA: Specifics, sir?
–Star Trek: The Next Generation; Season 1, Episode 3; "The Naked Now"