Before I start I would like to Congratulate you on your new car. Honda is a great car, they can last almost forever if you take car of it, I've seen Honda cars that 200K, 400K and still running strong. Here is what you should at least do on during mileage.
New Car Only: DON'T break too hard in the first 2000 miles, DON'T change oil BEFORE 3000 miles (change it at or a little after 3000 miles. all these are stated on the owner's manual).
1) change oil and oil filter every 3000 miles (conventional), or 5000-7000 miles (Synthetic). RECOMMEND Mobil1 Synthetic, cleaner and better for engine.
2) rotate tires during every oil change or ever 5000-7000 miles.
3) check air filter every 15,000 miles (change if necessary), they usually last 30,000 miles depending on road condition, don't forget about cabinet air filter.
4) check transmission fluid and filter every 50,000 miles, USE ONLY HONDA fluid. Honda cars DOES NOT have transmission filter (mechanic say change every 50,000 miles, but modern cars last 100,000 miles according to the manufacture, but Honda will have a service reminder when it needs to be changed).
5) check power steering fluid every 50,000 miles, USE ONLY HONDA fluid (again, they usually last 100,000 miles).
6) change/bleed break fluid every 50,000 miles (depending on your driving condition as well).
7) check break pads every 20,000 miles, usually last 60,000 miles depending on your driving condition. change is necessary. RECOMMEND ceramic break pads for less squeaking noise.
8) flush cooling system every 30,000-50,000 miles (depending on your driving condition).
9) check tire pressure at least once a month, don't forget spare tire.
10) polish/wax car every 30,000-50,000 miles to keep it away from paint fading, and rusting.
11) avoid hard braking and fast acceleration, they're not only use more gas but they're also bad for your braking system and engine.
12) for everything else you usually wait till they wear out, or gone bad
IMPORTANT: please check your owners manual and/or your mechanic for more detail, as every vehicle can be different, and please have a professional mechanic do these if you know nothing about cars.
if in the future you have any car problems and/or questions as Scotty, he is a professional mechanic that answers all your questions and repair videos on youtube.
good luck and hope you enjoy your long last new Honda