This actually does exist on Kol Halashon! Seems to be as described — a man reading the Gemara in Daf format, said in ‘traditional’ Gemara tone.
As a side note, the man who recorded this, Rav Yehoshua Leibowitz, has also recorded quite a few other areas of text that may be of interest:
- Shulchan Aruch
- Tanach
- Rambam
- Select Mussar Seforim
- Ein Yaakov/Some Yerushalmi