Q:

Go a holiday vs Go on a holiday

I know we can "go on a holiday", and I think it is British. But does "Go a holiday" exist?
If so, how is it used? Can it be used in all tenses?
I have come across the following sentence, though, I am not sure if it is just a typo, but regardless of that, can one say:

Have you ever gone a holiday that mixed business and pleasure?

A:

There is no phrase "go a holiday" in standard English. 
In British English one can go on holiday. In American English, one usually celebrates a holiday and goes on vacation.
Of course you can have a string go plus a holiday such as in

Wherever they go, a holiday follows. 

This is grammatically correct and even a sentence someone might possibly say or write. But go a holiday is not a phrase in it. 

