Looks like an Airbus, and no, not all jets will look like that. The Airbus has some design elements that aren’t common, such as the side sticks. But the large glass displays are common now.
The training is very good, and involves a fair amount of preparation. Before going to class you’ve memorized a lot of stuff, including “flows”, which are common actions you’ll take with the controls.
Example: In the bizjet I currently fly our “after takeoff flow” for the non-flying pilot is…
Flaps retract
Activate yaw damper
Main air valves open
APU off
Set climb power
That’s all followed up later with a checklist. In some planes that checklist will be on one of the screens. I’ve used mneumonics to help memorize, flash cards, etc.
Going to a new aircraft type is starting at the beginning again, unless they are related types. Again, you prepare before going to class / simulator. Every time I’ve gotten a new type rating the aircraft feels very unfamiliar for the first few days in the sim, then it becomes familiar. Eventually it becomes a cozy nest over time.
For me, once I’m finished with one plane and getting trained on another, I dump all my previous knowledge. If you asked me for details of jets I’ve flown before, I probably couldn’t tell you. There’s only so much room in my noggin. In the corporate world there are pilots who maintain currency in two planes at a time, but I’ve never done that. Not eager too, either.
Edit: I’ll add that when I did my first type rating in a large turboprop for a regional airline, I was struck by the idea that the first time I would fly the actual airplane would be on a revenue trip with passengers. Still seems sort of crazy to me, but it’s an established system that works well. That first type rating was a big hurdle for me, but each subsequent has been much easier.