benignuman- yup= this is exactly how the Rambam interprets the halocho (see his loshon). It is also evident from the story of Hilell that this is exactly what happend – although it is not clear whether the gentlie became a ger right away.
YYTZ- i reraize that covering one’s hair (for a woman) may be a d’oraisa (there are conflicting views on that) but ,as you write, it would be very unusual to maintasin that this is what one has to accept to become a ger.