Whether you can put it outdoors depends on temperatures wherever you are, you've not said. It is Pachyphytum compactum; it will not tolerate frost, but in some regions, can be stood outside during summer, and in arid, hot regions can be used for xeriscaping out doors. Temperature range required is average room temperature, but it may produce flowers if kept at a lower temperature (41-50 deg F) during the winter months. Otherwise,indoors, it needs as much bright light as it's possible to get, preferably with some sunlight. Care should be taken with watering, as with most succulent plants, to prevent root or stem rot, so the soil in its pot should be free draining (cactus mix is ideal) and its pot should have drainage holes - any outer tray or pot should be emptied out within 30 minutes of watering so it is not left sitting in water. Some further info and image here https://houseplantz.net/pachyphytum-compactum/
In the photo, it looks as if the pot it's in might be overfilled with soil, meaning the soil appears to be right up to the top of the pot - this is not a good idea because water will simply run straight off, so you really need to correct that if that is the case, ensuring the soil level is a quarter to half an inch below the rim of the pot. It also seems to be far too big a pot for such a small plant, so a smaller pot would be best, unless you're intending to add other small succulents.