Wrong!
No. That is not correct. Baptism is required to enter the Celestial Kingdom (John 3:5), however marriage is not required. Celestial marriage is required for exhaltation in the Celestial Kingdom, which is the highest level. However, some may not want to be married at all. They can still live with God in the Celestial Kingdom.
I’m sorry, but this is misleading. The LDS absolutely teach that you have to be married to become a god in the celestial kingdom. If you’re not married in this life you’ll be sealed to someone else.
From the April 20, 2008 edition of the Salt Lake Tribune:
“Though the LDS Church had disavowed polygamy, it is still enshrined in Mormon scripture (Doctrine & Covenants 132) and some believe it will one day be re-established, if not on Earth, at least in heaven. In his quasi-official 1966 book Mormon Doctrine, which remains in print,*** the late LDS Apostle Bruce R. McConkie*** wrote that ‘the holy practice will commence again after the Second Coming and the ushering in of the millennium.’ And by policy,** men can be ‘sealed’ for eternity in LDS temple rites to more than one wife, though women are permitted only a single sealing. **Three of the church’s current apostles, for example, were widowed and remarried. Each will have two wives in the eternities”
You then say that some people may not want to be married at all. But Spencer W Kimball said “Honorable, happy, and successful marriage is surely the principal goal of every normal person. One who would purposely or neglectfully avoid its serious implications is not only not normal but is frustrating his own program.”
"Every person should want to be married. There are some who might not be able to. But every person should want to be married because that is what God in heaven planned for us” (Spencer W. Kimball, The Teachings of Spencer W. Kimball, 291).
He then says that marriage is essential to be exalted into Celestial Kingdom.
“Celestial marriage is essential to exaltation. In order to obtain the highest degree in the celestial kingdom, a man and a woman must enter into the new and everlasting covenant of marriage (see D&C 131:2–3).”
lds.org/manual/doctrines-of-the-gospel-student-manual/chapter-28-celestial-marriage?lang=eng
" Celestial marriage and a continuation of the family unit enable men to become gods; 21–25… Laws governing plural marriage are set forth."
lds.org/scriptures/dc-testament/dc/132.20?lang=eng
Again, this is all from the official LDS site.