It all depends on how "in" to photography you plan to get. If you're not ever going to buy a lens, don't get a DSLR or ILC mirrorless. If you want something pocketable, the RX100 or Ricoh GR III mentioned in the other comment are great choices. If you don't care about pocketability, I'd recommend the Fuji X100F. That's a great camera to learn photography on due to all the physical controls it has, plus it's stylish enough to practically be an accessory.
If you do want a DSLR, the D750 can't be beat for the price it goes for now. If you'd rather do mirrorless (which I would recommend for someone new nowadays) the general suggestion is to go Sony, but both Canon and Nikon's options are fine for a nonprofessional too.
It's generally hard to suggest anything to anyone without knowing a little bit about them.
Having said that, my "stock" recommendation is something really small (i.e. something that you'll still carry with you after the honeymoon period and the novelty is over), and for me, that's something like a Sony RX100 (Panasonic and Canon also have cameras using Sony's 1" sensors with a similar form factor).
1" sensor fixed-lens cameras are "barely" pocketable, and not necessarily cheap, but I feel that recommendation tends to be better than a mirrorless like an A6x00 or an SLR.
I have seen too many people get bored/tired of lugging an otherwise fantastic camera around and then it just starts collecting dust.
My recommendation is as an all purpose camera for stills and video.
So while the GR series are nice cameras, I don't consider them to be as versatile, especially with that fixed 28mm equivalent lens.
I tend to think the GR series is more appropriate for people who know what they're doing (and what they want) than people who think they might want to get into photography.
The most important piece of equipment to improve is between your ears.
Take lots and lots of photos with your phone. Get a gorillapod tripod for it. Get down on your knees - people mostly look best when the camera is at chest height. Kids look best from the floor. A lot of other things look better from these angles, too.
Look at your photos a lot. And them some more.
Start to see your preferences--the kinds of photos you like taking, and things in your photos that you want to fix. Youtube is a fantastic resource if you want to get better.
After six months or a year of this, you'll have an idea of what you want out of lenses (and therefore a camera).
Buying a camera before doing this is wasting money -- but hey, it keeps the manufacturers in business. :-)
If you do want a DSLR, the D750 can't be beat for the price it goes for now. If you'd rather do mirrorless (which I would recommend for someone new nowadays) the general suggestion is to go Sony, but both Canon and Nikon's options are fine for a nonprofessional too.