How the achievements in Hall of Monuments will affect your character in GW2 has been detailed, and quite explicitly at that. Rewards include weapons, armors, pets, and prestige titles. You can see how to get them and how to calculate what you'll get here. You will need a score of 30 if you wish to unlock all of the material goods, and a score of 50 to unlock all of the titles. The GWAMM title from GW1 will also be transferred. So what's your score thus far? 
 
(The developers have stated that these rewards are mostly for the early game so as to not provide any significant unfair advantage to players who did not play GW1 extensively. The unique items however will probably be aesthetically transferable to other weapons, or their stats upgraded as per a game mechanic in GW2 that has been mentioned previously). 

I like how there rewarding us Guild Wars 1 players. Can't wait for this game to come out.

My Score is 11, since I quit soon after Factions was released. 
If the PvP is still good and I can find a decent guild, it would be the only game I need for a long while.

My score is 16, I'm pretty disappointed my main account was banned. I'm sure I'd have gotten a score of 30 with that one. Bloody account hackers!

" My score is 16, I'm pretty disappointed my main account was banned. I'm sure I'd have gotten a score of 30 with that one. Bloody account hackers! "