We may not want any conflict in our normal life, but every story needs it to draw the interest of the reader.
But what is conflict?
One type might be internal - where a person is fighting the pain from a past heartache, such as losing a love one in a fire, now they've met a fireman they like. Can they over come their fears and allow themselve to fall in love with him.
The other type is external - like in Romeo and Juliet, their family's hate for each other tears the young couple apart and causes them to go to extreme measures to secure their love.
Hope this helps,