Below are some prior similar questions (some also address load-bearing walls) which might help - if I had to throw out a ballpark guesstimate off the cuff, it would probably be about $500-1000 by a Handyman (who could do carpentry, drywall repairs, painting, etc himself - to more around $1000-2000 by a Remodeling - Kitchen and Bath contractor.
One difficulty you will have, if you mean a person passage rather than a hand-through pass through (the normal meaning of that term) - will be what you do at the floor, because you will have a gap in the flooring where the wall was. If you can accept a wide transition strip, great. If not, might have trouble matching the flooring.
https://answers.angieslist.com/On-ave...
https://answers.angieslist.com/How-co...
https://answers.angieslist.com/Who-cr...
https://answers.angieslist.com/How-I-...
