If after getting dry the power supply fan doesn't come on for a moment when you plug the power cord in, and if the computer doesn't show some CPU fan activity when you press the start button, it my be that only the power supply is shot. It is the only place on the computer that has high voltage that is susceptible to water.
The power supply can be checked by unplugging the 20/24-pin motherboard connector and shorting the proper POWER GOOD connector to ground. If the power supply is wotking, iys fan will come on and stay on. If the power supply is dead, replacing it is very easy, because all you have to do is to unplug the connectors from the board and from the drives, unbolt and remove it, and put in a new one that meets/exceeds the power rating and leads configuration.
You may not want to do all this, so just take out the hard drive, mount it as a second drive in another windows computer, and use that operating system to transfer the complete set of files by copying the "My Documents" directory contents to an adequate USB flash drive.
Dismount and store the hard drive as the backed-up files in case you have to re-access them.
Putting the hard drive in another machine is OK, but you'll have to reinstall all the pertinent applications that use your important documents, images, or audio/video files.
(From an experienced computer technician.)
laptop.