#The aforementioned photographs and following observations, measurements and values describe plants grown during the summer in 15-cm containers in an outdoor nursery in Higashiomi, Shiga, Japan and under commercial practices. During the production of the plants, day temperatures averaged 28° C. and night temperatures averaged 20° C. Plants were five and four months old when the photographs and description, respectively, were taken. In the following description, color references are made to The Royal Horticultural Society Colour Chart, 2007 Edition, except where general terms of ordinary dictionary significance are used. Botanical classification: Brachyscome×hybrida ‘Bonbra0749’. Parentage: Female, or seed, parent.—Proprietary selection of Brachyscome×hybrida identified as code number 00-178, not patented. Male, or pollen, parent.—Proprietary selection of Brachyscome×hybrida identified as code number 00-179, not patented. Propagation: Type.—By vegetative cuttings. Time to initiate roots, summer.—About seven days at temperatures of 20° C. to 25° C. Time to initiate roots, winter.—About ten days at temperatures of 15° C. to 20° C. Time to produce a rooted young plant, summer.—About three weeks at temperatures of 20° C. to 25° C. Time to produce a rooted young plant, winter.—About four weeks at temperatures of 15° C. to 20° C. Root description.—Fibrous; white in color. Rooting habit.—Freely branching; medium density. Plant description: Plant form and growth habit.—Semi-upright plant habit; freely branching habit, bushy plant form, pinching enhances lateral branch development; moderately vigorous growth habit. Plant height.—About 10.5 cm. Plant width (spread).—About 27 cm. Lateral branches.—Length: About 15 cm. Diameter: About 1 mm. Internode length: About 1.4 cm. Strength: Moderately strong. Aspect: Semi-upright. Texture: Smooth, glabrous. Color: Close to 138B with close to 177B. Foliage description: Arrangement.—Alternate, simple. Length.—About 4 cm. Width.—About 1.9 cm. Shape.—Deeply divided. Apex.—Acute. Base.—Attenuate. Margin.—Deeply lobed. Texture, upper and lower surfaces.—Smooth, glabrous. Venation pattern.—Pinnate, reticulate. Color.—Developing and fully expanded leaves, upper surface: Close to 137B; venation, close to 137D. Developing and fully expanded leaves, lower surface: Close to 138B; venation, close to 138C. Petiole.—Length: About 1.8 cm. Width: About 1.1 mm. Texture, upper and lower surfaces: Sparsely pubescent. Color, upper surface: Close to 137B. Color, lower surface: Close to 138B. Inflorescence description: Appearance and habit.—Single composite inflorescence form with ray and disc florets arranged acropetally on a capitulum; inflorescences borne above the foliar plane; uniform and freely flowering habit with about 13 open inflorescences per plant at a time; inflorescences face upright to semi-upright. Fragrance.—None detected. Flowering season.—Plants flower from spring through autumn in Japan; flowering continuous during this period; early flowering habit, plants begin flowering about 50 days after planting. Inflorescence longevity.—Inflorescences last about two to three weeks on the plant; inflorescences persistent. Inflorescence bud.—Height: About 8.1 mm. Diameter: About 4 mm. Shape: Ovoid. Color: Close to N81B. Inflorescence size.—Diameter: About 2.4 cm. Height: About 7.4 mm. Diameter of disc: About 6.3 mm. Ray florets.—Quantity/arrangement: About 18 in a single whorl. Length: About 9.8 mm. Width: About 2.1 mm. Shape: Lanceolate. Apex: Obtuse. Base: Attenuate. Margin: Entire. Texture, upper and lower surfaces: Smooth, glabrous. Color: When opening, upper surface: Close to N82B. When opening, lower surface: Close to 85B. Fully opened, upper surface: Close to 85A. Fully opened, lower surface: Close to 85D. Disc florets.—Quantity/arrangement: About 36 massed at center of receptacle. Shape: Tubular, elongated; five-lobed. Apex: Acute. Length: About 5 mm. Width: About 1.5 mm. Texture: Smooth, glabrous. Color: Towards the base, close to 145C; towards the apex, close to 6A and 7A. Involucral bracts.—Quantity and arrangement: About 13 in a single whorl; bracts imbricate. Length: About 2.9 mm. Width: About 0.9 mm. Shape: Roughly ovate. Apex: Acute. Base: Obtuse. Margin: Entire. Texture, upper and lower surfaces: Smooth, glabrous. Color, upper and lower surfaces: Close to 137C. Peduncles.—Length: About 6 cm. Diameter: About 0.6 mm. Strength: Moderately strong. Texture: Smooth, glabrous. Color: Close to 146A. Reproductive organs.—Androecium: Present on disc florets only. Stamen length: About 1 mm. Anther length: Less than 1 mm. Anther shape: Ellipsoidal. Anther color: Close to 165B. Pollen amount: Scarce. Pollen color: Close to 7A. Gynoecium: Present on ray and disc florets. Pistil length: About 3.6 mm. Style color: Close to 4D. Stigma shape: Bi-lobed. Stigma color: Close to 6A. Ovary color: Close to 145B. Seeds and fruits.—Seed and fruit development have not been observed on plants of the new Brachyscome. Disease & pest resistance: Plants of the new Brachyscome have not been observed to be resistant to pathogens and pests common to Brachyscome plants. Garden performance: Plants of the new Brachyscome have been observed to have good garden performance and tolerate rain, wind and temperatures ranging from about 0° C. to about 40° C.