On modern Windows this driver isn't available by default anymore, but you can download as Microsoft Access Database Engine 2010 Redistributable on the MS site. If your app is 32 bits be sure to download and install the 32 bits variant because to my knowledge the 32 and 64 bit variant cannot coexist.
Depending on how your app locates its db driver, that might be all that's needed. However, if you use an UDL file there's one extra step - you need to edit that file. Unfortunately, on a 64bits machine the wizard used to edit UDL files is 64 bits by default, it won't see the JET driver and just slap whatever driver it finds first in the UDL file. There are 2 ways to solve this issue:
C:\Windows\syswow64\rundll32.exe "C:\Program Files (x86)\Common Files\System\Ole DB\oledb32.dll",OpenDSLFile C:\path\to\your.udl. Note that I could use this technique on a Win7 64 Pro, but it didn't work on a Server 2008R2 (could be my mistake, just mentioning)[oledb]
; Everything after this line is an OLE DB initstring
Provider=Microsoft.Jet.OLEDB.4.0;Data Source=C:\Path\To\The\database.mdb;Persist Security Info=False
That should allow your app to start correctly.