I would personally run a new line from the main service from your house to your hot tub.. This might seem like a pain in the butt considering your situation it would save ALOT of headaches in the future.. With the recent advancements in plug in cars, lawn mowers, etc. and the fact that the more circuitry you have for future expansion in your garage the better off you will be..
You can read both the voltage and the current with a Fluke brand multimeter. the current (amperage) is read with the "clamp on" feature that is built on the instrument.. Make sure to purchase the meter with this feature.. (They are beautiful!)
There are a few things that hot tubs require before installation.. Make sure your are at LEAST 22 feet 6 inches from ANY overhead power.. If there are ANY non GFCI receptacles (outlets) within 10 feet from your tub make sure to change them to the GFCI type.. If you have lighting within 10 feet from the tubs basin that lighting also has to be GFCI protected .. If your power is being run underground the tub must be at least 6 feet away from the underground pipe..
One thing that is missed above is that the hot tub circuit itself has to be on a GFI breaker.