Would the conjunction cause us humans to transfer into another dimension or would unnatural creatures come into our own dimension?
If its like the Witcher, it would be us humans being transported into a new dimension previously populated by Elves and dwarves. First step would be to look for loved ones to see if they made it over as well as any other modern humans. Hopefully we can all communicate in a common language and get some tools from our previous world (chainsaw, power generator, water purifier, tractors, seeds, books, etc.). Once we have our group, we would want to band together and have half explore the land around us while the other begin building a settlement and farmland. We want a base of operations and defenses to keep us safe. We will inevitably meet up with other intelligent creatures and hopefully they will be friendly enough that we can come to some mutually beneficial agreement. We could exchange information, get to understand the land and local government structure, and first find our foothold in this new world. The goal isnt to kill monsters or whatever but to just survive in this new world. Hopefully, we were able to also get some tools and technology from our current world to join us in this new one (power generator, tractor, books, etc.) If not, we will need to “reinvent the wheel” so to speak so hopefully some farmers, plumbers, architects, etc came through to this dimension so we can begin building the foundations of a modern society. Ill hopefully died of old age and not torn to pieces by some mystical creature or die from some disease as we survey the land and try to survive.
If new creatures come here, just live my life and adjust accordingly. The portal will appear on the news and internet posts with people scouring to see these new creatures, if any. Governments will urge caution, cults will arise regarding these creatures, and people will inevitably get killed by a random dragon or something, giving militaries the justification to go in. Meanwhile, scientists will probably try to capture and experiment on these creatures, learning what they can and seeing if we can use them to assist in solving our modern problems (mainly the use of monster parts to create new medicines to cure modern ailments). Unless im drafted into the military to help fight off these monsters, Im probably not encountering any new creatures. The interesting thing would be if intelligent nonhuman races arrive and start working alongside us. I might try to get to know these people if I get the opportunity and ask if there are some books or new knowledge or insights they can share (just about life in general). Hearing about an elf or dwarf point of view on life, philosophy, their opinions on our entertainment and vice versa would be interesting but hopefully they will just be a cool person I can hang out with. Hopefully we can accept these new intelligent beings into our society but given that discrimination is a thing, im not hopeful.