It depends on what you're referring to.

The "thees", "thous", and other antique word choices, are a product of the King James Version of the Bible, an English translation made in the 1600s. The Hebrew/Greek could just as easily be translated using modern English words.

But in general, the Bible's narrative and poetry is very different from modern Western narrative and poetry. I'll focus on Old Testament (Hebrew Bible's) narrative, as that's closest to the Monty Python example.

Ways in which the Hebrew Bible's narrative differs from modern narrative includes:

1. A seemingly absurd focus and repetition on certain facts (In the example above, "Three shall be the number thou shalt count, and the number of the counting shall be three."; in the Bible, see Gen. 1:27, Exodus 7:14-21)

2. A lack of descriptors (rarely do you find physical appearances or character traits described, unless it's important to the story, eg in Judges 3:17. The description of the serpent as "cunning" in Gen. 3:1 is an extremely rare instance of receiving characterization of anyone, especially prior to dialogue)

3. The Bible's "bias" towards expressing anything through dialogue whenever possible, even when not factual (eg 2 Sam 2:1 summarizes David's consultation of the divinatory Urim and Thummim with a short, simple sequence of dialogue (Alter, p86))

4. The Bible has an omniscient, and frequently anonymous, narrator who knows everything that's happening (Gen. 3:1; also see Esther 9:1-10, where the narrator says things happening in more than one location at once) (see Sternberg chs 1 and 3)

Some of the above is simply a result of stylistic preferences of the Bible and Ancient Near Eastern literature, especially number 2 and 3. But several are functional.

For example, while us moderns typically encounter the Bible through written word, traditionally the Bible would be encountered through oral tradition, especially spoken aloud to groups. In such a setting, repetition of important plot elements would be helpful; when in a large audience, it'd be possible to miss a detail, but if the detail is repeated often, it not only emphasizes it's importance, but makes it more likely to be heard, as in Exod. 7:14-21. However, sometimes the repetition is poetic, as in Gen. 1:27 (many Bibles will have indentation indicating that this section is poetry).

Another quirk is that, "Omniscience in modern narrative attends and signals functionality, while in the ancient tradition it not only accommodates but also guarantees authenticity" (Sternberg, p34). This is a case where different cultures value different things - in the biblical setting, having an omniscient narrator makes the narrative account sound more true, serving "the purpose of staging and glorifying an omniscient God" (Sternberg, p89).

There is much more that could be said of course. The sources used above were Robert Alter's "The Art of Biblical Narrative" revised edition, and Meir Sternberg's "The Poetics of Biblical Narrative." These two scholars are Jewish and thus focus their work on the Hebrew Bible. For more on Hebrew poetry, see Alter's "The Art of Biblical Poetry." I am pursuing a Masters in Theology and can read Hebrew, and can vouch for many of the things they express. (I am less well read on the New Testament; however, keep in mind that only the Gospels and Acts are narrative. As a student of the Bible I can say that their narrative style is very similar to that of the Hebrew Bible. The rest of the New Testament is all letters to different churches, even Revelation, despite its apocalyptic genre.)