Exactly this, a good therapist will focus the first session or two on fit, they want to make sure you both understand each other.

I will caveat by not knowing what country you are in and the norms there, so this is coming from a US centric approach.

Absolutely, and I'll add that if you don't like the therapist, keep looking. The quality of the relationship between you and the therapist has A LOT (the most?) to do with what you'll ultimately get out of it.

I remember it being really hard to know what I wanted from therapy the first time I did it which made choosing a therapist feel pretty overwhelming. Had to drop the first therapist I saw after a couple sessions because it wasn't for me (and a good therapist will tell you "you might want to seek out another therapist").

If you really want to, you can read about the different therapy methodologies that therapists commonly use, but as a first-timer I found that to be pretty overwhelming and just reading the therapists' descriptions of the kind of work they do and clients they typically work with ultimately more helpful in choosing someone I could work well with.

A good therapist (but maybe not a good match for you) will also recommend others they know that they believe are a better fit.