what type of visa I should apply and in which form ?

You need two types of China visa, single-entry tourist visa (L visa) for visiting your friend in Qingdao, single-entry business visa (F visa) for doing internship in Qingdao, but you can't apply two visas at the same time, only one China visa is valid at the same time.

You just need to fill in Visa Application Form of P.R.China V.2011A if you apply for China visa in Indonesia.

After visiting your friends in Qingdao, will you return to Indonesia, then go to Qingdao for the internship?

further question
Dear Mr. Jacob, thank you for your reply.After visiting my friend in Qingdao, I would not come back to Indonesia. But will do travel around to Cambodia, Laos and Vietnam.So, is there any options to make the application easier for me, as I'm not planning to be back to Indonesia before my internship.Thank you very much in advance for your assistance.

Marissa Hazman, frankly speaking, you make the thing complex, you will travel to Qingdao, China twice, you need at least a double-entry visa or one entry tourist visa and one entry business visa, however, it is greatly possible for the embassy to issue you a single entry F visa with 90 days stay duration in China. Even though you apply for visa ealier, you can only enter Qingdao once, you can't return to Qingdao for your internship after visiting Cambodia, Laos and Vietnam.

you apply for business visa (F visa) in Indonesia, if you get a double entry F visa, you can still do it according to your travel plan, otherwise, you have to change your travel plan, take the F visa to do internshio in Qingdao from May to July, 2012, you can visit your friend in Qingdao Ocean University during this period. After the end of the intership, you can travel to Cambodia, Laos and Vietnam.

thank you
thank you Mr. Jacob for your answer.best regards, Marissa