Olivia's place was exactly as described, and had everything I loved about the East Village. It is also an authentic experience, surrounded by diversity, and lets you enjoy the neighborhood well. The garden is an excellent outlet when the weather permits, and there was almost no noise from the street at night. (This had been my main concern)
While, as Olivia mentions, the WiFi is spotty, there are a few good coffee spots within walking distance, such as 9th street espresso. There are also lots of great spots within a short (even by non-NYC standards) walk, such as Cortadito, the famous Katz Deli, laboratorio del gelato, Wafels & dinges, and Remedy diner...