As pointed out in comments, you'd be much better off using a std::vectorstd::string to store the strings.
But, this looks like a homework assignment to read then print each byte separately, so let's have a look... I'll add one of the ways this is usually done at the end of this post.
Your output looks like this:

It looks like you are displaying characters beyond the bondary of the strings, or that your strings are not null terminated... Turns out it's both.
Your code:
int rows = 0, column = 0;
char arr[50][50]; // <-- your array is not initialized, while that is not
// a big issue, filling the array with zeroes is easy:
// char arr[50][50] = {};
while (my_file.eof() == 0) {
my_file.get(ch);
if (ch == '\n') {
rows++; // <-- you pass to the next string, but do not put a
// null character to properly terminate your strings
// while this could have been avoided by initializing
// the array, it's best to do it explicitely.
// replace above line contents by:
arr[row][column] = '\0';
if (++row >= 50) // consider using named constants for the size of your array.
break; // No use keeping on reading strings if there is no
// more room to store them
}
arr[rows][column] = ch; // <-- I suspect a bunch un undefined stuff will
// start happening when column >= 50
column++;
// Try replacing above code with:
if (column < 50) // consider using named constants for the size of your array.
arr[rows][column++] = ch;
}
// make sure the last string is null terminated.
if (row < 50 && column < 50)
arr[row][column] = '\0';
// note that strings that are 50 bytes long are NOT null terminated.
// that's important to keep in mind, and only workss because we'll print
// byte by byte.
// your original print routine prints out all characters in the array, even
// stuff that was not in the original file...
for (int j = 0; j < rows; ++j){
for (int k=0 ; k < column; ++k){ // <-- you need to check for a null
// terminating character here...
// also, column is the length of the last
// string in the array. This is not a very
// useful value for displaying any other
// strings, is it?
// try this:
for (int k = 0; k < 50 && arr[j][k] != '\0'; ++k)
cout << arr[j][k];
}
cout << '\n'; // insert a newline after each string.
}
As you can tell, this is overly complex for doing a very common operation... Here's a more concise way of doing the same thing:
#include <vector>
#include <string>
#include <iostream>
#include <fstream>
int main()
{
std::vector<std::string> arr;
std::ifstream ifs("testfile.txt");
while (ifs && !ifs.eof())
{
std::string str;
std::getline(ifs, str);
arr.push_back(str);
}
for (size_t i = 0; i < arr.size(); ++i)
std::cout << arr[i] << '\n';
return 0;
}