Yeah, about a year and a half. You need to map yourself appropriately as well, and not wander/stray the path too much. Works out well if you go gallente from the beginning, that way your time spent on training drones will still be useful for getting some in-game income via mission running. Go download EveMon and add the following to a skill plan (that will give you an idea of the time it will take):
drones V
drone interfacing V
electronic attack drones V
scout drone V
combat drone operation IV (V is better, but you can get by with IV)
heavy drones V
sentry drones V
drone durability V
drone navigation V
drone sharpshooting IV (again V is better)
gallente drone specialization IV
minmatar drone specialization IV
repair drones V
leadership V
fighters V
navigation V
afterburner IV
high speed maneuvering IV
evasive maneuvering V
warp drive operation V
jump drive operation V
jump drive calibration IV (V is better, but IV is minimum)
jump drive fuel conservation IV
spaceship command V
advanced spaceship command V
capital ships II
science V
thermaldynamics V
electronics V
cloaking IV
targeting V
multitasking IV
long range targeting V
signature analysis V
engineering V
energy grid upgrades V
energy management V
energy systems operations V
energy pulse weapons V
energy emission systems V
shield emission systems V
capital energy emission systems IV
capital shield emission systems IV
shield management V
shield operations V
tactical shield manipulation IV
shield upgrades IV
em shield compensation V
thermal shield compensation V
kinetic shield compensation IV
explosive shield compensation IV
mechanic V
hull upgrades V
jury rigging IV
drone rigging V
armor rigging V
shield rigging IV
repair systems V
remote armor repair systems V
capital remote armor repair systems V
remote hull repair systems V
capital remote hull repair system IV
capital repair systems V
em armor compensation V
explosive armor compensation V
kinetic armor compensation V
thermal armor compensation V
nanite operation V
nanite interfacing V
nanite control IV
gallente frigate IV
gallente cruiser IV
gallente battleship V
gallente carrier IV
You can cut back some on the shield skills since gallente is armor tanked, but really ever bit extra hp helps. I along with just about everyone else will say that is the minimum skills you will need. You will really also need a second account with someone who can drop a cyno field so that you can actually move your carrier on your own (and not rely on someone else who could just set up a trap to kill you). You would probably also want to train "infomorph psycology IV", "cybernetics V", "astrometrics IV", "astrometric pinpointing IV", "astrometric rangefinding IV", and "astrometric aquisition IV", "gallente frigate V", and "covert ops ships IV".