Congratulations!
A quick search yielded this definition for traditional business wear. It's pretty in line with what I thought it would be. It's certainly what I would wear the first day, and you can go from there... I hope it doesn't mean a lot of shopping for you before you can figure it out! If it does I'd find a neutral skirt, couple of pairs of pants and a couple of jackets. All that mix and match. They are always useful even if the place skews more casual than you think. What you've posted looks perfect.
For Women
A dress pant, skirt, or dress with a non-matching jacket is recommended business traditional attire for women. Depending on the season, jackets may be ¾ length or short sleeve. A crop pant suit (matching or not) is also suitable; however the pant hem should hit mid-calf.
Skirts and dresses should always sit at or just above the knee. A collared blouse or dress-material top is recommended, and should either be tucked in or fall just below your waistline. Tops should never hang below the hem of your suit jacket, or be too short that they show your stomach. Always be cautious that dress shirts are not too revealing in any business setting. Pantyhose are not required, however during the fall and winter seasons darker pantyhose or tights are recommended when wearing skirts.