You can have up to 9 Marks (red), 9 Seals (yellow), 9 Glyphs (blue) and 3 Quintessences (big, purple).
Yes, you can use 9 of the same Mark/Seal/Glyph and/or 3 of the same Quintessence (you have to buy 9/3 of the runes to use them, but you can do it), and in fact that is considered the normal way to build a rune page.
However, it's probably not a good idea to stack all of one specific type of rune. It can work with specific builds, but it's often stronger to take three or four specific sets of runes that scale together. On most champions, a mix of stats that scale together will usually be stronger than putting all in one stat.