In the NES version, she follows a pattern of Tornado, Reflect, Tornado, and Snowstorm, making her a bit easier to deal with than Doga. Physical attacks are the way to go in defeating her. Using a Dragoon's Jump ability ends the battle fairly quickly. Like Doga, she is basically a pushover, though the fact that the party must fight her immediately after Doga can make her a challenge, especially if they are underleveled.
In the DS remake, Unei is a bit more difficult, as she can inflict heavy damage with a physical attack, followed by the powerful Aeroga spell on one or all party members. She also has access to both Protect and Haste, making her faster and taking less damage from physical attacks. However, she is still relatively easy to defeat.