Welcome. Others have given you good advice.
First pick a good site to set up your hive. You want FULL SUN. No shade as small hive beetle thrives in shade, again FULL SUN. The bees may have to work a little harder but it's that or lose them to beetles.
Your site should ideally be facing south or southeast to catch the morning sun to get them awake and working early plus in the coldest months sun helps. Do not site the hive in a cold pocket or at the bottom of a slope. Cold air pools and if the hive is in a cold spot it makes them work harder in winter to maintain cluster warmth, they eat more honey as a result.
If your can find the ideal spot that also shares a windbreak so much the better. If not you could add a windbreak if you get cold winds in winter.
If you can detect I think winter is your goal this first season. You have to think of the colony as a perennial and it can only be perennial if it survives it's first winter. To survive they need to get off to a running start that allows the queen to lay as many eggs as possible to have as many workers as possible to store as much honey as possible. This stored honey is the only hope for surviving the winter. Once they have a good store and are strong can you switch over to encouraging a surplus of honey the next season for harvest.
Just to walk you through installing the nuc. You'll probably bring them home late in the evening or at night. Just set the nuc on the same stand you will put your hive and open the entrance. The next morning after the bees are flying you will move the nuc to one side and set a medium super on a bottom board on the stand where the nuc spent the night. Now using light smoke open the nuc and starting with an outside frame you transfer the frames one at a time to the medium super in the exact same order without turning or reversing the frames. Fill out the rest of the medium super with frames with foundation. Leave the nuc open and empty in front of the hive and any stranglers will move to the location the nuc was last, where the hive is now. Immediately start feeding a light sugar syrup 2:1 water/sugar. Do not boil or cook the sugar when making the syrup.
Keep feed in front of them as long as they will take it, maybe even all summer.
Make plans to check weekly but you need to make your first check on day four. Since you may have difficulty locating the queen, even if marked and I recommend having her marked, the day four check allows you to look for eggs. Since eggs hatch on the third day after being laid a day four check will tell you if you have a laying queen. If you do not find eggs, which look like tiny off white jelly beans at the very bottom of the cells, you may have a problem. If you do find eggs you have a laying queen so close her up and check in a week. If no eggs consult with your nuc supplier he/she may ask you to check again in a few days or if local may schedule a time to look themselves. Also be aware that a strong nuc may be in swarm mode due to crowding so any large peanut looking cells either in the center or more likely bottom of the frames could indicate a potential swarming situation. If any or all queen cells found are already capped then it is to late and a swarm has already issued or will issue within hours.
If queen cells are found there are things you can do but I am hesitant to advise as it's often a judgment call. This is where having a mentor or advising beekeeper is very important. Call your local county extension agent to find the nearest beekeeping club. Go to the meetings and find a beekeeper to lean on until you get a feel for what you're doing.
Next as others advised when you see that 70-80% of the frames are drawn out add one of the deep supers with frames with foundation directly underneath the medium super. Continue feeding heavily.
The reason for underneath is the bees store honey and nectar at the top and as they plug out the upper portion of the medium it will push the queen down into the deep. When you see eggs and capped brood in the deep and again 70-80% of the frames are drawn add the second deep underneath but only if there is enough time left in the season to get it drawn, there should be if the queen is laying well and your still feeding heavy.
By fall you should have three boxes of drawn comb with eggs and brood in at least one of the deeps, ideally the bottom, and the other two and any empty space full of capped honey.
Good Luck.
