Unfortunately, there is absolutely no way to know that. And if anyone tells you they do, they are lying to you.
There is no way to know what is going to happen in the short-term with the markets or individual stocks. When you are looking at buying a stock for a short-period of time in the hopes that it will go up, you are doing nothing more than speculating...you aren't investing.
"Investing" is taking a long-term view knowing that the markets as a whole go up, more than they go done, and taking advantage of that inherent upward bias. It's not trying to pick the individual stock that is going to be the next "hot thing."
So, if you have done your research and believe that Google is a quality company that will continue to maintain (and ideally, improve) market share, create solid earnings, etc. and you have a long-term view of holding it, then what happens over the next year should be inconsequential to your decision to buy it or not.
However, if you are merely trying to speculate, I don't have an answer for whether it will be worth more or less per share one year from now (and as I said earlier, nobody else should posit an answer, as least not with any level of certainty).
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