The Greensboro Inn offers a variety of room types including the Double Room with Two Double Beds and the Superior Family Room, both of which accommodate up to 4 adults and have either double beds or queen size beds. The Queen Room, on the other hand, is a double room for 2 adults with a queen size bed and a room size of 269 sqft. Smoking is not allowed in any of these rooms.

Based on the provided data, it is difficult to provide specific details about leisure amenities at The Greensboro Inn. However, guests can spend their time at the hotel by taking advantage of the featured amenities that are mentioned. This could include making use of facilities such as swimming pools, fitness centers, spa services, or on-site restaurants and bars. The hotel may also offer additional amenities such as concierge services, room service, or business centers for guests to enjoy during their stay. It is recommended to refer to the hotel's website or contact the property directly to obtain more specific information about leisure amenities available to guests.