This tutorial case will teach you the basics of playing the game. The case itself is rather straightforward. You'll unlock the achievement upon completing the single session trial.
Solutions below taken from (paraphrased) my walkthrough on gamefaqs.com.
*** Spoiler - click to reveal ***Q: State the name of the defendant in this case.
A: Larry Butz.
Note: For the above, you can deliberately answer "Mia Fey" to unlock another achievement.
Q: What's the victim's name?
A: Cindy Stone.
Q: What's the cause of death? She died because she was...?
A: Hit with a blunt object.
Q: Butz will be asked to respond to allegations that Stone has several sugar daddies.
A: Your choice doesn't matter, but you can choose "Stop him from answering" to put pressure on Payne.
Q: Where was Butz on the day of the murder.
A: Have him to answer honestly.
Cross-Examination
Statement: "I remember the time exactly: It was 1:00 PM".
Present Cindy's Autopsy Report.
Statement: "There was a voice saying the time... It was probably coming from the television".
Present Blackout Record.
Statement: "Yeah, the murder weapon! The killer used it to hit the victim!".
Present Statue.
Q: Any problem with Sahwit's testimony?
A: Yes
Q: The witness knew that the statue is a clock because...
A: Went into the apartment
Q: Make grounds for your claims.
A: Try sounding the clock.
Q: Any idea to save the case?
A: Yes
Present Passport to win the case.
At the end of the case, present the Statue to Butz.