Looks full grown, could be anywhere from several years to a couple decades(assuming it is a female and not a male that just hasn't had his ultimate molt yet) in age. Don't fret if it doesn't eat right away for you, I rescued a rose hair from a fellow who hadn't even offered food in 8+ months and she didn't look much worse for wear. Generally speaking, if you leave them alone, Ts don't do much moving around - they sit, and sit, and sit, and pounce on food.
A couple useful tips for the new tarantula owner:
1) If you see it laying upside down, don't flush the sucker - it's not dead. Spiders usually curl up when they die. An upside down, sprawled out tarantula is one preparing to molt.
2) Don't leave food for extended periods in the enclosure. This is especially important when they're going into a molt - many prey items can and will destroy a spider during this vulnerable process.
3) Don't feed for a while after a molt(their fangs will be lighter in color and could be damaged if they to try to use them in this softened state - wait until they darken back up and you'll be good to go). Give them a couple weeks after molting to harden up if you're unsure.
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