Is your church basically conservative, liberal or somewhere in between? You'll want a pastor who's compatible.
Let's assume you're conservative. The first question should be, "what is your view of scripture and its reliability for faith and practice. The answer you're looking for is "I believe in an inerrant scripture." If you don't get that answer straight out, ask the question.
Assuming your candidate is doctrinally sound, you'll want to ask him about his view of the relationship between pastor and deacons, pastor and staff, and pastor and members. Of course, your committee will have to know how the church sees such relationships.
And this may be the hardest thing to do of all. I chaired two search committees, and we agreed that we would require a unanimous vote on everything we did. We believed that if we earnestly sought the guidance of the Holy Spirit, He would guide all of us, not some of us. And He would guide us all in the same direction.
That's a very high threshold, and it tested our committee. We dropped pursuit of one candidate because one member had doubts. His one vote stopped the majority. The majority really liked the candidate. But we reminded ourselves that we were also operating on a spiritual level as well as a practical level.
When the committee finally was able to agree on a candidate to recommend to the church, it was quite liberating.
That'll have to be a committee decision. If you go unanimous, would you want the congregation to do the same? Probably not.
The church must decide what kind of majority vote it requires. Would you call a pastor with a 51% yes vote? About about 2/3rds? 75%?
Would a pastor candidate say yes to a 75% vote, knowing 25% of the members voted against him? I've know a couple of pastors who said they'd wouldn't come to a church with less than a 95% vote.
Well, these are just some ideas to consider. I'm sure you have some veterans on the search committee who've been through this before. As a rookie, you can look to them to help you.