Yes, yes, and yes. Seeing a movie in a theater offers a distinct experience in two main ways:

The first concerns the experience of losing some self-awareness as you "get into" a movie and devote your focus to what's happening on the screen. This experience different when it happens in unfamiliar surroundings than when it happens on your living room couch. Losing yourself to a film's narrative in a public place feels different than doing so at home.

Second, the experience of watching a movie together with strangers is different from watching it alone. You'll hear people who you don't know laugh when you laugh, and sometimes when you don't. You'll also hear people who you don't know cough, slurp sodas and crunch popcorn, and sometimes even comment or heckle. A full theater adds a communal aspect, as the mood of the audience as-a-whole affects the experience for each individual audience member.

I'm so old I remember when going to the movie theater was literally the only way to see the movie. I've been in all circumstances: alone, on a date, with a group; in empty theaters and in packed ones. Going to see a movie by yourself and ending up the only person in the theater can also be a good experience, and is still very different from watching alone at home.

After you've tried going to the cinema a few times, you might look for a (now rare) opportunity to see a movie at a drive-in. It's a weird juxtaposition of the theater experience with the private home experience that also becomes something more all its own.