Your hard drive's on-board controller is reporting that it is failing.
If the computer is new enough to be under warranty then the drive replacement should be free. Labour costs may be charged, depending on the supplier.
HOWEVER the contents of your hard drive are not under warranty, so your only options are
1) Check out what backups you already have. Could be the files you want are on another device. Check your phone, tablet, email inbox and sent items, pen/flash drives, external drives, your previous computer, work/school computers.
2) Sounds like the drive is incapable of starting up. You might be able to remove it from computer and attach to a USB/SATA adapter, something like this:
... then use another computer. The drive might work for long enough to read the files you want. If it does start up, time is critical so don't delay. Copy the most needed files first, then go back and read off anything else you might want.
You might be able to read the disk but not the filesystem, and a
fsck might not fix it. Other tools like
ddrescue are available, but your time window is limited. Don't waste it.
3) If the drive is dead/dead then you might choose to use the services of a data recovery company. Note that there are no guarantees, but they should be able to recover some of your data. Downside is that there's a non-zero cost for this kind of work
4) Suck it up. You've just learned personally why backups are a good idea. Take this as one of life's lessons, and carry on. In the future, set up backups as a priority.
Regardless, this drive is probably unusable in the future. You will need to buy or get a replacement for your laptop.