The best first day will be buying a fuel scoop, and going to Alpha Centauri, the closest star to Sol that don't need a Permit lock. At 139Ly from HIP 97950, will be a hard trip, but the reward worth hundred of millions.
The station, Hutton Orbital, give a free Anaconda to every player going here.
Its a great trip, that will teach new players about jump, fuel scoop, supercruise, and also put you in contact with great communities like the Fuel Rats in your path to Hutton Orbital.
Only the official Hutton Anacondas have the official Decal, as show in the Star-Arrow-Outpost silhouette (Paintjob not include), but Anaconda have the best selection of paintjob in the whole game.
Some basic lessons with the Camera suite, and the Free Camera options, will make great screenshot to memorialize the moment, and a great introduction to the reddit community. Hutton pics are always popular, as proof that the pilot has done the Hutton Pilmagre and have the knowledge and skills to reach even further goals, and the number of comment are as bigger as the upvotes, giving a kickstarter in this community.
Even missions toward Hutton Orbital have extra profit, to redirect the biggest number of players toward this station. And a tourist beacon "For the Mug!!!" orbit the planet, for that time when the community worked hard to create a new Rare item, the Hutton Mug, into the station. This Mug and the other rare commodity Centauri MegaGin are sold in limited numbers, but the price increase 10K/ton at max 160Ly from Alpha Centauri, items desired in every station in the galaxy.
I don't know a better way of spending the first day in Elite Dangerous.
o7 , and FOR THE MUG!!!!