The surface interval is simply the time on the surface between dives. Most dive computers will have some period of time (a few minutes) during which if you go back down it considers it the same dive, therefore it's not a surface interval. The PADI table shows intervals starting at 0 minutes so according to that I suppose a surface interval could be a nanosecond long. But since it takes at least a few minutes to go down 1 pressure group maybe you could say that's what it takes to call them separate dives.
Not sure why it matters though, practically speaking. Are you trying to see how many dives you can do just as table practice, or planning on diving that way? Which would not really be such a hot idea and kind of pointless. Classes sometimes aren't conducted like real dives. You probably didn't spend enough time or go very deep to need much time up if any, it almost sounds like you were doing a surface interval for practice, or just so it could be called 2 dives. In real life you would get out of the water, change tanks, do whatever, and typically spend at least 40-60 minutes out to reduce nitrogen enough so your next dive isn't cut short.