Solution in a single line (Python 3):

print(*range(1, int(input())+1), sep='')

My answer, I prefer clear and simple logic ;-)

from __future__ import print_function
N = int(raw_input())
for i in range(1, N+1):
    print(i, end="")

I think without going to google, and not having previous Python experience, its impossible to do this task. The tutorial is very poor.

for i in range(1,n+1):
    print (i, end='')

How about this approach? It passes all the test cases.

from __future__ import print_function
if __name__ == '__main__':
    n = int(raw_input())
    
    for i in range (1,n+1):
        print(i, end="")

The comma(,) after i supresses the new line and the end is the delimiter that will be used while printing (can be replaced with space for printing numbers with a single space between)

Source: https://docs.python.org/3/whatsnew/3.0.html