They're not forbidden to learn the meaning of Vedas. That is universal to all, as evidenced by the Dharma-Butcher - a butcher by profession who solves all philosophical doubts of saints. And he did speak in Sanskrit to the Rishis.

What they're forbidden is to chant the Vedas with original incantation. Because those chants have the power to invoke deities who control the forces of nature itself.

This is no different from restricting access to firearms for the general public. While most citizens shouldn't operate them, they are entitled to the protection offered by others who wield them. And those who wield them must have extreme restraint.

Brahmins, are known for self-control, patience, begging for alms, vegetarianism, and study of scriptures. Atleast, that was the case until a few generations ago. Now, they've left their traditional professions and gone into the IT industry, so they too lost the qualities/restraint needed to be entrusted with Veda mantras.

When one has self-control why should they beg ? Its contradictory ?

Coming to The Vedas themselves, they are quite voluminous and make for a very dry reading. The classic english translations are the ones by Ralph T.H. Griffith. Recently Bibek Debroy has translated The Vedas into english though i believe it is highly abridged and simplified. This might make a good starting point.