You want to read the file backwards using ReverseLineReader:
How to read a text file reversely with iterator in C#
Then run .Take(2) on it.
var lines = new ReverseLineReader(filename);
var last = lines.Take(2);
OR
Use a System.IO.StreamReader.
string line1, line2;
using(StreamReader reader = new StreamReader("myFile.txt")) {
line1 = reader.ReadLine();
line2 = reader.ReadLine();
}