Hey there! Astronomy is an awesome event, and it's awesome to hear you're doing it!
As pumptato-cat said, the official Science Olympiad rules allow use of one laptop per person, as long as it's not connected to the Internet. So, you can download anything to your laptop for offline access during the event. You can download a PDF copy of the rules (for free!) to learn about the topics that'll be tested on Astronomy this Science Olympiad season. Some coaches don't hand out the rules manual to their students, but it's best to have a copy for yourself so that you can check the rules for your events any time you want.
As for resources, our wiki page for Astronomy contains a high-level overview of crucial topics, and if you scroll to the bottom of the wiki page, there are also notes made by other students who've shared their work for anybody to use. For deep-sky objects, often Wikipedia or the Chandra X-ray observatory website have a general overview of the object. Because astronomy (as a discipline) is extremely broad, Astronomy (as an event) has a lot of different things that can appear on tests, even when limited to just topics in the rules. So, it really helps to grab a physics textbook and familiarize yourself with the fundamentals of physics in the weeks leading up to your competition. You can even download free textbooks from a variety of sites like OpenStax or LibreTexts, but because you'll only have an hour or less to take your test, most of the benefit comes from reading these books before competition day, and not during it.
Welcome to the Astronomy family, and good luck in your competitions!