Learn Dutch: Luister naar de toost en hef je glas! - Listen to the toast and raise your glass!

No, they are both regular imperatives (commands). While this lesson covers old subjunctive forms used in fixed expressions, everyday commands like hef je glas (raise your glass) or luister (listen) simply use the stem of the verb.

Why do we use hef instead of a common word for 'lift' like til op?

The verb heffen (past forms: hief, geheven) is used for lifting or raising in a more formal, ceremonial, or abstract sense. You use it in standard combinations like het glas heffen (to raise a glass) or belasting heffen (to levy taxes), whereas you would use optillen to physically pick up a heavy box.

Is de toost related to the English word for toasted bread?

Yes, but Dutch makes a useful spelling distinction! When referring to a speech or raising a glass, it is spelled de toost (and you say een toost uitbrengen). When referring to toasted bread or a cracker, it keeps the English spelling: de toast (like een toastje met zalm). Both are pronounced exactly the same.

Why does the sentence use the unstressed je instead of jouw for 'your' glass?

In Dutch, it is much more natural to use the unstressed possessive je unless you need to emphasize that it is specifically your glass and not someone else's. Using jouw glas here would sound unnatural, as if you are warning them not to grab their neighbor's drink.