Your very lovely new Rollei is a T - an amateur model produced by the manufacturers from the late 1950s to satisfy a demand for a cheaper 'flex with somewhat fewer bells and whistles, yet manufactured to the same high standards the makers had put into all their magnificent cameras from day one.
Yours is the black version and looks to be an early to mid 1960s model. It also appears to be in especially good condition, going by the appearance of the camera and the lens hood and also the almost pristine 'never ready' case.
That it was designed for the amateur markets is one of the great hidden secrets of this Rollei model - most Ts found nowadays on the used market are likely to have been much less bashed about than the bigger (and often much more expensive) pro models, and if used with reasonable care will likely go on shooting and producing fine images for many years.
With rising film prices and economy in mind, F&H (the makers) came up with several new innovations as accessories that they knew would appeal to the amateurs. The 16 exposure kit is one - also a 35mm film insert kit, both of which can easily be found on Ebay or in secondhand photo shops and greatly enhance the usability of the camera.
The accessories you got with your T look to me to be worth nearly as much as the camera itself. Its original owner was a dedicated black-and-white shooter and made sure to have all the toys to improve his images - the yellow, orange and green filters and the polarizer are two signs that he/she was fond of being in the outdoors and taking landscapes. The Rolleigrid (a plastic screen fitted on top of the camera's inbuilt viewing screen to improve illumination in the corners) is especially useful but quite difficult to find nowadays. I bought one in the 1980s and somehow lost it but I still have the original fitted case for it, a small work of art in itself, as are most Rollei accessories of the mid 1950s to 1970 when these TLRs were in their heyday. There are three Rollei close-up lenses and you may well want the other two to enhance your macro work. All can also easily be found online and are usually not too expensive given the high quality they produce.
I own two Ts bought on the used market in Australia in the 1990s. They along with my Rolleicord Vb, a cheaper model very similar to the T in most ways, are my favorites to play with even given the ridiculously high prices for 120 roll film in Australia, which is the main reason I've tended to drift away from TLR (and also 35mm to a lesser extent) photography since the mid 2000s.
Beware of Rollei-itis which may soon have you owning other Rollei models and an endless variety of quality accessories for them. They are prime examples of the high manufacturing standards Germany once put into its camera industry, and Rollei GAS can be fatal to one's bank balance and credit cards.
All that said, go out now with your T and a pocket full of films and filters, use it well, and enjoy.
(Added later) On re-examining your photo, your T is the later model - I believe it was known as the Version 2 or some such name - going by the lever and button on the front sides, which would date it to 1965-1970. An improved model, well worth having. Mine are the older Version 1 models and yes, just as good as yours I'm sure - but I'm envious.
Out of curiosity, may I ask, does the meter work? An added plus if yes, but those were mostly unreliable even when new, seemingly designed to cover the exposure latitude of fast black-and-white and color negative films. A hand meter will serve you best - here comes a GAS attack!