To second Kirby
Some people think that you develop your intuition by playing quickly. Well, maybe so, but that doesn't mean that you are developing good intuition.

To develop good intuition you have to practice making correct plays, or at least good plays. As Kirby says, you can do that using problems, pro games, whatever. You get practice making good plays by review, by making plays that you think are good and by getting immediate feedback, for instance, from a book or from an sgf file.
One thing that I enjoy is to work on a problem that has an sgf file of the solution, perhaps with variations, and when I am ready, to play through the main line of the solution at a pace of about 5 sec. per move. At that pace, I find that even if a problem has been too hard for me, after a move or two I will usually see the rest of the solution.

If you replay a pro game at a pace of 5 sec. per move it will take maybe 20 min. If you try to guess the next move at that pace you won't knock yourself out. Then if you replay the game the following week, you will get more plays right.

I have never been a fast player myself, but Bruce Wilcox used to recommend playing a game in 15 minutes. At his go camps some SDKs would gain 4 stones in two weeks! OC, they weren't just playing fast games.

His stuff is still available online, according to recent posts here.
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Since you are interested in improving your reading, here is a way of practicing it. There are at least three skills in reading, 1) choosing candidate plays, 2) calculating variations, and 3) evaluating the resulting positions. The last skill can be difficult, so you might practice on problems with a clear solution, such as tsumego, tesuji, or endgame problems.
First, choose what you think are the three best candidate moves, even if you think one or more is bad. That's OK. This is for practice reading. Then order the three moves and remember the order. Play the first move in your head. Now, do the same for the other player. Pick the three best moves, order them, and play the first move in your head. Do the same again. At this point you have made three moves in your head. Evaluate the position.
Then back up one move and play the second candidate move in your head. Evaluate that position. Then back up and play the third candidate move and evaluate the resulting position. Next you back up two moves and repeat the process. Continue in this fashion until you have played all 27 sequences in your head and evaluated all the resulting positions. (There will probably be fewer than 27 positions to evaluate.) Now check the solution of the problem, to get feedback on your evaluations and choice of candidate moves.
This exercise should bolster your confidence in your reading ability.
