The 4 hole that you link has the same tuning as holes 4-7 of a standard 10 hole. That is one full octave. That's what the tuning chart on your link shows.
The only thing your 10 hole diagram adds are the 2 bends, which lower the note a semitone (Db and Ab). The usual instructions for producing a bend apply. So there's a chance that you will be able, with practice, to bend the lowest hole. On a 10 hole, it is easiet to bend 3 and 4. But your 1st task is to learn to play single notes.
Frankly I think you are better off getting a standard 10 hole harmonica. Instructions and tabs will assume that. A 4 hole is a toy. Spend $30-40 for a 10 hole instead of $15 for this 4 hole.
Take a look at the songs at https://www.harptabs.com/. You'll have trouble finding songs that just use holes 4-7.
Looking again at the 4 hole chart I realize it is from C6 to C7. That's the range of the upper octave of regular 10 hole C harmonica (C4 to C7). Mapping that on to the bends of the 10 hole chart, I'm guessing that it will be hard to bend the draws (the Db). http://www.harpsurgery.com/how-to-play/blow-bends/ doesn't sound very encouraging about mastering a blow-bend in this key either.