A Bool query in Elasticsearch combines multiple conditions to find documents. The 'must' clause requires documents to match all its conditions. The 'should' clause adds optional conditions that boost document scores but do not exclude documents if not matched. The 'must_not' clause excludes documents that match its conditions. The 'filter' clause filters documents without affecting their score. Execution proceeds by checking each clause in order: first 'must', then 'should', then 'must_not', and finally 'filter'. Documents must pass 'must' and 'filter' clauses, must not match 'must_not', and may match 'should' to improve ranking. This combination allows flexible and powerful searches.