Baby will really enjoy when you sing rhymes and songs to them, and may babble along with you and try to even hold a little flat tune. Tantrums and anger will also be quite quick to emerge - her frustrations will easily bubble over and her emotions overwhelm her, leading to a screaming tantrum. They haven't yet learnt to control these emotions so don't lose your temper - just be firm and cool and be ready with comfort when it blows over.
Children this age can be very self-centered and selfish, because their independence is rapidly growing but they do not yet know how to share or play together properly. This will pass, and every child goes through this stage, the important part is to keep trying with them and teach them through your own actions.