I’m going to make this as brief as I can.
Spock is a Vulcan and Kirk’s human, they compliment eachother perfectly. Kirk is the emotion, and Spock is the logic.
Over the years they get to know eachother, they grow fond of eachother. They’re together for 5 years and become best friends and even more, but the mission ends. Spock goes to get Kolinahr, to remove all his emotions.
He feels ashamed of his love for Jim. However he soon realizes his emotions are beautiful, and he does not want to be cold and lifeless.
They love eachother Kirk, and Spock, they realize this. They are soulmates, T’hy’la.
Then Spock dies, and Kirk is hopeless. He “left his noblest half” on genesis. He can not bear this, so he risks everything he’s ever known. His son dies, he gets demoted, and his ship, his god damn ship. He lost his ship, the thing that he said “nothing was more important than.”
Spock is back, however he can not remember all his years with Jim, he is cold and lonely, as he never wanted to be. Yet the first thing he can recognize, of all the things he’s ever known, he remembers Jim’s name.
"Jim, your name is Jim."
kirk smiles, he can not believe it. 3 months pass by, ad even though there is still the old Spock in there, he still seems cold.
They go on a mission back to old San Francisco, and Spock begins to remember why he loved Kirk, as if they fell in love all over again.
And at the end of the movie, this cold and emotionless Vulcan realizes that he is not alone
He’ll always have Kirk by his side.
Their love turns deep, they are plain and simply soulmates.
When Sybok was showing Spock, and McCoy their fear, and removing it from them, Kirk did not want Sybok to show him his biggest fear.
Losing Spock again.
He couldn’t bare to see it, and said that “his fears made him who he was.”
"I lost a brother once," he says, "I’m lucky I got him back."
Because Spock makes him who he is, they are apart of eachother. Two connected and bonded souls that no one can come between.
And when Kirk dies, Spock is alone. He is now in a universe where he has to watch Spock with Uhura, and watch the new Jim go by through life. But in eveything he does, he’ll never forger the life Kirk gave him.
Now look me in the eye. How the fuck is that not a love story?
Maybe Kirk and Spock aren’t lovers, no they aren’t. They’re more than that. There is no word to describe their being perfectly, this love is too deep and genuine for a word to label.
to end, a quote from Gene Rodenberry himself:
"I definitely designed it as a love relationship…That was the relationship I tried to draw. I think I also tried to draw a feeling of belief that very few of us are complete unto ourselves. It’s quite a lovely thing…where two halves make a whole."