This is one the cheapest two bedrooms I've ever seen. At this price point you would expect small, old, and dirty. But it appears that this is big, new (or at least not ancient), and clean. The pics show a decent unit (or at least a unit that exceeds its paltry price tag). The second bathroom never hurts.
The nabe would be Williamsbridge. This is far west in the hood, near the Bronx River. The cross street is 228th. There would be some shopping on White Plains Road and also on 233rd Street. Across the River is Woodlawn Cemetery and a bit further north and across the river is the nabe of Woodlawn, with some good eating and imbibing options. The lack of massive apartment buildings can make Williamsbridge feel less crowded than other parts of the Bronx.
For transportation you'd have the 2/5 at 233rd street. You would also be somewhat near the Woodlawn Metro North stop at 233rd and Webster Avenue.