If you can find any of the original supplied accessories and packaging that should
have been included with the computer, there is a chance you may also locate the
original software install-restore DVD set that has the original system on there.
This would be enough to set up a working computer. Not the latest supported OS X
but should include the same applications it had when you first got it. They are grey
label discs and probably would be fairly old. In order to get a newest possible OS X
version, you'd need to see that the computer has at least Snow Leopard 10.6.8 so
the Mac could then go online to the App Store to see what else may be available.
{If your MacBook shipped with Lion 10.7.2, it likely had that on USB flash installer}
If you have identified the computer correctly, this is original configuration & software:
per http://mactracker.ca database download spec
• MacBook (13-inch, Mid 2010)
Introduced May 2010
Discontinued July 2011
Model Identifier MacBook7,1
Model Number A1342
EMC 2395
Order Number MC516LL/A
Original OS Mac OS X 10.6.3 (10D2162)
Later OS Mac OS X 10.6.4 (10F2108), or Lion 10.7.2 (11C74)
Maximum OS Latest release of OS X
AirDrop Supported
Hardware Test AHT 3A199
Bundled Software iLife ’09 (includes iPhoto, iMovie, GarageBand, iWeb, iDVD)
The best deal may be if you contact Apple sales support and have the serial number
of the computer available, and ask if they can locate the correct replacement install
restore disc set for that computer; it should have the same content as shipped, new.
There would be a fee. But that is a better deal to get the computer to run, now.
Be sure to ask if the replacement software kit would include those original apps.
This method allows a new owner to set up and personalize the computer, then use an
AppleID account to go online and use an App Store for any upgrade or update content.
In any event...
Good luck & happy computing!