Like other Oregonians, those in the vast East like their booze, but remember they may be a bit more conservative about it that those in the Willamette Valley Portland, Eugene, etc. and that you will have to go a bit further to get it. Most towns with more than 500 peope have at least one bar, usually two; the smaller outposts, such as Paulina, may have one, but don't stake your last dollar on it.
Unless you are in a larger Eastern Oregon town, count on a more limited selection than what is usually available elsewhere in the state and more beer-only establishments.