The chair in the image is a Louis XV-style accent armchair. This style, which originated in 18th-century France during the Rococo period, is known for its graceful curves, ornate naturalistic carvings, and emphasis on comfort and intimacy over the formal rigidity of previous styles. 
Key Characteristics of the Chair:
Curved Lines: The chair frame features characteristic flowing, sinuous lines with no straight elements.
Cabriole Legs: It has distinctive S-shaped or cabriole legs, a hallmark of the Louis XV style, often ending in a delicate scroll foot.
Ornate Carvings: The frame is heavily adorned with elaborate hand-carved motifs, including a shell motif on the crest rail of the backrest and floral or scroll designs on the apron (the front rail beneath the seat) and legs.
Teak Wood Construction: The chair is crafted from natural teak wood, known for its durability and rich appearance.
Luxurious Upholstery: Both the generously sized seat and the rounded backrest are upholstered in a plush fabric featuring a royal blue and gold brocade or damask pattern. 
This type of chair, often referred to as a fauteuil or bergère depending on the specific design nuances, was designed for comfort and conversation in the smaller, more intimate salons of the era, and remains a popular accent piece in traditional and eclectic interiors today.