No, it’s not BYU, that is named after a man (see 3 Nephi 27:8). And, the temple is only a symbol of it. It’s not a temple made with hands. It’s the Holy Ghost:
Therefore it is given to abide in you; the record of heaven; the Comforter; the peaceable things of immortal glory; the truth of all things; that which quickeneth all things, which maketh alive all things; that which knoweth all things, and hath all power according to wisdom, mercy, truth, justice, and judgment. Moses 6:61.
The university metaphor is fitting. “Undergraduate” work in the gospel is done by distance learning via the Holy Ghost.
“Graduate” work in the gospel is done in person with the Lord Jesus Christ as your mentor.
Both gates to matriculation are baptism, only the keeper of the gate for graduate studies is the Lord alone (2 Nephi 9:41). Even if you have many re-baptisms after your first baptism to mark major milestones in your “study,” the “second” baptism (see Lectures of Repentance, lecture 14) is being born again as sons and daughters of Christ through the Second Comforter (see 3 Nephi 11:37-38, esp. v. 38).