If you gab, chat, and talk it up with someone, you have conversation, but if you're looking for input from each other as you talk, you confer, or consult, together. They had a family meeting to confer about a schedule for sharing the new laptop.
Many uses of the verb confer involve consulting with another person or as a group. Confer has a second use meaning "bestow," which means to award or hand over something. You can confer a medal on a winner or hero, or you can confer status through a promotion or assignment. Each year the teacher would confer the special honor of summer hamster-sitter on one responsible student.