Python, 34 25 bytes
lambda i:sum(zip(i,i),())
Try it online! Another one that returns a string instead of a list of characters:
for i in input():print(i,end=i)
for i in input(): asking for the input, and doing a
for loop for every char in the string.
print(i,end=i) print the character, and then close
the line with the same character.