Premise: Modern society discovers a magic portal that leads to a parallel universe that is almost identical to our own but the earth on the other side never had humans (or any other technology wielding civilization). People who go through the portal may travel back and forth freely but there is one restriction, they cannot bring anything with them (they have to be naked). The portal is in the Brazilian Rainforest.
Question: How long would it take for a group of settlers to recreate the modern world's technology and infrastructure on the other side of the portal?
Edit: Transporting removes artificial fillings and empties the stomach. The portal only transports "intrinsic" parts of your body. Limited to cells with your DNA and supporting mitochondria and stomach bacteria (and any other necessary symbiotic bacteria). Transporting animals is allowed with the same restrictions. Transporting things that aren't living creatures is not allowed. Pacemakers would not be allowed. The idea is that settlers arrive with only themselves, their health, and their knowledge, along with animals as well. The portal effectively stops all technology and non-living matter (defined as a multi-cellular organism with a nervous system) from passing through. The portal itself is magical, but the process of rebuilding itself would not be.