This apartment is located just near the Grand Concourse's northern terminus where it intersects with the Mosholu Parkway. The unit itself looks renovated and turn-key move in ready. The listing agent must be pretty proud of the reno and the upgrades, because there are pictures with the listing that are just of some of the stainless steel appliances. It's also a sponsor unit, so you'll be spared jumping through as many hoops in the application/closing process.
The hood is Bedford Park and it does have some pretty cool stuff to offer. You'd be near the Mosholu Parkway, which serves as a long green park (with a road) that connects Bronx Park to Van Cortlandt Park. You'd be near the Bronx Greenway and great biking. The Botanical Garden is pretty damned cool as well, and until October there is a twice weekly farmer's market at the Garden. There is also a farmer's market closer to this unit at Jerome and Mosholu Parkway on Wednesdays.
There is some shopping on 204th on this side of Mosholu Parkway. It's like a little Korea town, with a C-town for general grocery shopping, a Korean BBQ place with a Korean grocery store connected. There's also a bagel/coffee shop there as well. If you cross the Mosholu Parkway there's a bit more on 204th Street/Bainbridge Avenue and lots of stuff on Jerome Avenue. If you want really fresh and quality products like bread, cheeses, meat, fish, pasta, or produce, I'd take the 20-30 minute walk to Arthur Avenue or ride my bike over.
Fordham University and Lehman College always provide cultural offerings to the hood like lectures, talks, plays, and musical performances. Fordham provides pretty decent college sports to the nabe.
The hood is saturated in transportation with the B/D at Bedford Park Boulevard and the Concourse, and the 4 train at Mosholu Parkway and Jerome Avenue.
Further Reading for the Studious Types:
New York Times "Living In - Bedford Park"
The Real Deal "Bronx's Bedford Park Hidden in Plain View"
AMNY "Bedford Park, Bronx"