In his statues he's pretty well-built. I know that they did idealized images of themselves, but was he attractive?
The Roman bibliographer Suetonius wrote about the first twelve Roman emperors, including Augustus. This is what he has to say:
(79) He was unusually handsome and exceedingly graceful at all periods of his life, though he cared nothing for personal adornment. He was so far from being particular about the dressing of his hair, that he would have several barbers working in a hurry at the same time, and as for his beard he now had it clipped and now shaved, while at the very same time he would either be reading or writing something. His expression, whether in conversation or when he was silent, was so calm and mild, that one of the leading men of the Gallic provinces admitted to his countrymen that it had softened his heart, and kept him from carrying out his design of pushing the emperor over a cliff, when he had been allowed to approach him under the pretence of a conference, as he was crossing the Alps. 2 He had clear, bright eyes, in which he liked to have it thought that there was a kind of divine power, and it greatly pleased him, whenever he looked keenly at anyone, if he let his face fall as if before the radiance of the sun; but in his old age he could not see very well with his left eye. His teeth were wide apart, small, and ill-kept; his hair was slightly curly and inclining to golden; his eyebrows met. His ears were of moderate size, and his nose projected a little at the top and then bent slightly inward.110 His complexion was between dark and fair. He was short of stature (although Julius Marathus, his freedman and keeper of his records, says that he was five feet and nine inches in height),111 but this was concealed by the fine proportion and symmetry of his figure, and was noticeable only by comparison with some taller person standing beside him.
There are many likenesses of Augustus. Here are a few:
the famous Prima Porta Augustus
a marble bust from about 40 BCE