Unfortunately, too many Christians focus on an individual's understanding of who and what God is as the thing which defines whether or not they are truly a follower of Jesus Christ. The reasoning goes something like this: "If a person doesn't understand who and what God is, then they can't really be a Christian." Of course, the flaw in such reasoning becomes immediately apparent when you begin asking Christians what they believe about who and what God is!
For instance, although most Christians would employ some of the same adjectives in describing their beliefs about God's characteristics (omnipotent, omniscient, omnipresent, self-sufficient, good, immutable and immortal), it would be very inaccurate to say that there is any widespread agreement or consensus among Christians regarding who and what god is. Indeed, it is generally recognized that Christian beliefs about God fall into three basic categories: Trinitarianism (the most popular), Binitarianism and Unitarianism. And, those broad categories don't even begin to address what different Christians believe about biblical terms like Spirit, YHWH, Elohim, Creator, Lord and heaven.
To be sure, Christians love to take positions on all of these topics and to claim that they understand God. Likewise, a great many Christians like to use their understanding of God to exclude those whose understanding of Divinity differ from their own. "They don't even understand who they're worshipping!" is a commonly heard statement when pointing the finger at folks in other denominations or churches.
It is clear, however, that the author of the Epistle to the Hebrews felt that seeking to understand God was much more important than the actual understanding! In the King James Version, we read: "But without faith it is impossible to please him: for he that cometh to God must believe that he is, and that he is a rewarder of them that diligently seek him." (Hebrews 11:6) So, for this First Century Christian, it was essential that: 1) a Christian must believe in God's existence and 2) that God rewards those who "ekzeteo" him. According to Strong's Concordance, the original Greek word is a compound of two words that mean "to search out, i.e. (figuratively)investigate, crave, demand, (by Hebraism) worship:—en- (re-)quire, seek after (carefully, diligently)." Likewise, Thayer's Greek Lexicon suggest four different shades of meaning for this word: "a. to seek out, search for; b. to seek out i. e. investigate, scrutinize; c. to seek out for oneself, beg, crave; and d. to demand back, require."
Some of the more modern versions of these verses convey the same sense. It is the people who "sincerely" (NLT) and "earnestly" (NIV) seek God. Other modern versions drop the adjectives, but they continue to convey the sense that it is those who "seek" after God. Hence, for the author of this epistle at least, the pursuit of God is essential - a correct or complete understanding of "him" is NOT!