There's one thing that you'll probably need to do the most in your Twig templates: Access the fields of some Drupal entity. After all, this is what templates are all about. Rendering content that's stored in entities in different ways. And that content obviously resides in fields. So you'll probably need to access those fields a lot.
First and foremost, there are basically two different ways to access those fields. On the one hand, you might simply want to render a field. That is, you want to have the full HTML - including all the associated tags, labels etc. - exactly like defined by the field's display settings and field formatter. One the other hand, you sometimes want to have the raw value of that field. That is, without any surrounding tags, encoding or HTML. Just the pure value that's stored in the database. This second case is often used when you don't want to output a field, but use its value for comparisons etc.