I would like to know the proper method of performing the Sajda that comes with a Surah (ex. Surah Alaq) while performing Salaat.

Sajda Tilaawat will be performed like a normal Sajda. Wudhu is a condition.

Face the Qiblah and without raising the hands, recite Takbeer (Allaahu Akbar), going down in the Sajda position. In Sajda, recite Subhaana rabbiyal a'alaa at least 3 times. Thereafter, reciting the Takbeer if you wish to. If you wish, you may arise from the Sajda position into the Tashahhud position. The Sajdah Tilaawat is now complete. There is no need for Salaam.

and Allah Ta'ala Knows Best

Mufti Ebrahim Desai