The George Connell House is notable for its architecture, both in regards to its original Neo-Classical design and the later-added Dutch Colonial elements. Originally built by Thomas Gray in 1838, the two-story, tall white house was a prime example of the Neo-Classical style, best seen in its embellished rectangular windows and moulded surrounds.

In later years, the house underwent two major redesigns: first in 1880, when an addition was made to the building's back, and again in 1907, when the front facade was reconstructed in its entirety to fit the Dutch Colonial style. The rebuilding of the front was performed by architect Ernest Fairweather after being hired by Allison Barlow Connell, Q.C. (George Connell's son and the house's then-owner). Dutch Colonial stylings can be seen in the facade's symmetry, as well as in the gambrel roof with its front and shed dormers.

Another element of note is the use of shellacked Florida cypress woodwork throughout the house, including in the ceilings, stairs, and halls of the structure. All this woodwork was performed by Abraham Clarke. When A. B. Connell also created a library of law materials within the house, Clarke added floor-to-ceiling glass bookcases and a mantlepiece of his own design, also made of Florida cypress.
 
The George Connell is also recognized by its eponymous owner. George Connell, who purchased the house around 1845, was the son of New Brunswick MLA and MP Charles Connell. George was a practitioner of law and additionally owned three steamboats. These boats were put to use for transporting both people and goods across the St. John River. The house was later acquired by his son, Allison Barlow Connell, who was also a lawyer and held the title of Queen's Counsel.