As I mentioned here, the Gymnastic Lisa quest comes in two varieties – a short version and a longer version involving Lugash. Now, you don’t need to have Lugash to complete the quest – if you haven’t bought him yet, the quest finishes with Lisa’s dream of getting an “A” in gym class coming true. In the Lugash version, however, something a little different happens after her dream and there are a few extra steps she needs to go through before she gets that top grade.

Lugash: To be great takes total dedication. All time invested in training. Until when mind think of losing, it also think “I AM DYING! THIS IS DEATH!”
Homer: If you’re promising to take up all of my daughter’s time with grueling psychological torments, then I think we have a deal.

Here, then, is a walkthrough of the additional parts that Lugash brings to Lisa’s quest:

1. Little Girl in the Big Ten Part 5 Lisa wants to talk to Lugash, but he cuts her off mid-sentence:

Lisa: I just wanted you to sign my petition against Whacking Day.
Lugash: Petition cannot stop Whacking Day – only gymnastics can stop it. By celebrating it! By doing gymnastics!
Taking his advice, Lisa goes to spend the next four hours training at Lugash’s Gym while Lugash trains children.

2. Little Girl in the Big Ten Part 6 Lisa doesn’t find training with Lugash a totally positive learning environment:

Homer: Sorry, we already paid for the lessons.
Lisa: But I saw a girl set her own broken leg in the middle of a somersault.
Homer: Wow. Next time that happens, film it and put it on YouTube. I’m tired of watching videos of cats.
So Lisa goes back again to spend another four hours in training and Lugash spends another four hours training children.

3. Little Girl in the Big Ten Part 7 Surprisingly, Lugash is impressed:

Lisa: Thanks Lugash. I still hate this, but thanks. So you think I can get an A in gym class?
Lugash: If gym class is balance beam, yes. God gave you greatest gift. Big head. Like beach ball made of bone. Give you perfect balance. Go home now. Rest your giant head. You will now pass gym examinations. I am certain of this. I am Lugash!
Lisa is so happy, she spends an hour doing cartwheels.

And it seems to have all worked:

Homer: Woohoo! Wait, I mean D’oh! Now what will distract you from getting all moral and judgement-y about Whacking Day? There must be more quests to keep you busy.It’s not like we constantly have nothing to do as we wait for another set of tasks to fill up our time.

So, Lugash adds an other layer to the Little Girl in the Big Ten storyline, which may make it worth you spending your donuts on him. It’s worth remembering, though, that if you want to keep Lisa in snake-earning tasks, you should be able to save this quest until later on in the Whacking Day event, although whether or not it will be available after Whacking Day is another question altogether.