The original Trumpeter kits were very bad models made of a type of plastic that could not be used with regular model cement. I think it may have been MEK or acetone that worked with that style of plastic. Some folks used super glue. Ambroid Pro Weld was another brand that I think worked.
I still have one of these Trumpeter based T-55/Type 59 kits; the one I have is the Chinese Type-59-B with the US 105 mm style main gun, kit #00314. Your kit should be #00339 if it is from the same line.
The basic kits were all the same but with different pieces parts used or not used base on the variant. Some kits had extra sprue(s) with additional parts.
You have to manually drill out holes from the inside of the turret for different versions. There are a few spots on the upper hull as well for some of the kits too.
Make sure you drill out only the holes you need for your version; I recall the instructions weren't too clear on this. Figure out which part is supposed to attach to the turret so you can size up which holes to drill out.
This series of kits is often referred to as a waste of glue, or not worth the cost of the glue to assemble. That's entirely up to you. They were designed to be motorized and took a lot of shortcuts so multiple versions can be made from one basic mole.
There are plenty of better kits that aren't a whole lot of money. Even the old 1980s Esci T-55/Ti-67 kits reboxed by Italeri are superior.
But again, it depends on what you want and if you got a kit that was reissued in regular styrene plastic or the original sturdy ABS plastic that was designed to handle motorization mishaps.