Yes you're right, 'and' has been omitted. This is very informal English. I guess the reason for dropping the 'and' is to simplify/shorten the sentence. Use it with friends but not in any formal writing.
Also there isn't a past form. You can never say: He went ask the officials, We went see the movie, etc.
But you can use it for the future/modals (informal):
We'll go see the movie tomorrow
We're gonna go see the movie tomorrow.
We could go see a movie...
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