Learn Polish: Chciałbym pooglądać telewizję albo poczytać książkę. - I would like to watch TV for a while or read a book.

Both pooglądać and poczytać use the prefix po- to show that the action will be done for a limited, short time ("for a bit" or "for a while"). If you used the standard perfectives obejrzeć and przeczytać, it would mean you intend to finish the entire thing—like watching a specific movie to the end or reading a whole book. Here, you just want to engage in the activity for a little while without worrying about finishing it.

Since these verbs have the po- prefix, are they grammatically perfective or imperfective?

They are perfective. Even though watching TV or reading are ongoing activities, adding the delimitative po- prefix turns them into perfective verbs. This is because the prefix puts a clear boundary around the action: you are grammatically treating that "short session of reading" as a single, completed block of time.

Why use albo here instead of lub or czy?

You could technically use lub, but albo is much more natural in everyday speech when presenting two alternative choices. You definitely cannot use czy here, because czy translates to "or" only when asking a question (for example: "Do you want to read czy watch TV?").

How would a woman say this sentence?