Help cat problem!!!!!?

I have a baby girl(cat).she's 1 year old and always a indoor cat.my brothers friend had some problem at house so he gave his cat to my brother to keep it for someday.when she(MY CAT) saw her(my brother's friends cat) she got so furious. she was growling, all angry,scaring that poor little cat. that cat was so nice to her but my baby girl was acting so dominant.that cat was mewing like a poor cat and my baby girl was scaring her. she kept doing that for half an hour.i thought she will be normal and be friends with her.but then my brother had to take that cat to his friend because my baby girl just won' let her stay. she did that once when i brought a stray cat.she scared him so much that that poor cat ran away.why does she do that? will she never be able to socialize? does your cat do the same?