Ultra Woman followed Superman's example. If Lois is the first super she would probably turn out different. She is a good person but is much likelier than Clark to put her judgment over the law. So while Clark would probably track her down fairly quickly the public and official reaction would end up different, possible a lot different.

Depending on if they figure out each others secret identities Lois could get along fine with Clark after they meet but be quite annoyed with Superman interfering.