come and go:
come and see or come see
go and see or go see
come and go can be followed by another verb. Either with an "and" between them or not.
- Come and see me when you get to town.
- Come see me when you get to town.
- Come to see me when you get to town.
Those all mean the same thing, basically. The use of "to" is more for a purpose, if one wants it to be: Come see me to get your books back.
However, if you want to sound invitational or inviting, the to would be left out.
- Come [and] see the wonders of Louisiana.
- Go [and] see the birds in that nature preserve. You'll love it.
The square brackets mean you can put the "and" in or leave it out.
Originally, I suspect only: Come and [verb] would have been correct. But nowadays usage is very often without the and. I don't know the history of this grammatical point.
Question: Will you come and experience x? Or Will you come experience x? Both are fine. Those are proper interrogative forms. There are times we use a statement as question in English by use of intonation, but it does not work well here.