Why do some diagrams of some molecules show the bonds of only some of their submolecules?
Your example is one of a variety of shorthands that exist because every chemist after the third year of studies knows what is meant so they are too lazy to draw.

In a nutshell, the $\ce{NH2}$ group will always be a nitrogen with a lone pair, two single bonds (one to each hydrogen) and one bond to the molecular skeleton. Much like $\ce{-OH}$ will always be $\ce{-O-H}$. It is also common practice to omit any insignificant hydrogen atoms in organic molecules; in the image above, a total of eight hydrogens has been omitted because every chemist will know where they are (and that they are there).

In principle, the phosphate chain could also be shortened to $\ce{HO3P-PO2H-PO2H-{}}$ rather than writing out all of it. Any chemist will mentally ‘expand’ the molecule in the same (correct) way.

As you continue to study, you will notice when which groups are generally shortened, which rules to observe while doing so and which hydrogens are so superfluous that they are not drawn — and, most importantly maybe, how atoms are labelled that actually are missing hydrogens. it is beyond the scope of a single answer to note them all.