I think it's pointlessly prescriptivist to insist that the usage that feels natural to you is "incorrect", but I guess that R Mac's answer and the responses to it provide some evidence that singular agreement may be a safer choice if you're trying to minimize the chances of your word usage being criticized. (If that's your goal, though, I wonder if it would be best to just go with "Golden Globe Awards" and plural agreement or "Golden Globe Awards ceremony" and singular agreement.)
To be clear, I'm not saying that singular agreement is incorrect: I'm saying I don't see why either usage should be considered incorrect—although I would imagine that any style guide would recommend consistency, since that's often thought of as a virtue in the context of grammatical issues like this.
There's no theoretical principle of linguistics that requires that a proper noun referring to a conceptually singular entity (or event) has to take singular verb agreement. There are many examples of "illogical" verb agreement that are undeniably part of standard English, such as "more than one is...".
That said, English speakers do seem to find the "logical" argument for singular verb agreement compelling for some reason.
Plural agreement with "The Golden Globes" is attested in various places online:
But there are also various examples of singular agreement. I don't know how to find out which one is more common, or whether there is some pattern to the distribution that would tell us what kind of people use plural vs. singular agreement.
Other related questions:
People have wondered the same thing about "The Olympics".