I don't know how the American system works, but I'm sure it's similar to here in Canada.
A Veterinary Technician is like a veterinary nurse, and here it's a 2 year post highschool program. They do everything from helping with surgeries, performing neuters, declaws, and dentistries, to administering medications... among many other tasks...
There are also courses you can take for Veterinary Medicine Office Assistant or something along those lines which is for more of a front desk, restraining, history-taking during appointments sort of job...
again, this is Canadian info.... 🙂