Your chances of getting something are pretty slim, but it is possible.
Hiv is transmitted through blood, semen, breast milk, and vaginal secretions. If you put your finger into a girl's vagina, you might be at risk of getting hiv if there was a cut on your finger and if she had hiv. There actually have not been many studies done on this subject, so it is tough to say how big the risk is exactly. It's probably small, but still there.
The risk is also small but still there for getting something from receiving oral sex. The giver is usually at a greater risk than the receiver, however. A recently published study found that men may be at risk of getting nongonococcal urethritis (ngu, a type of urethritis, an infection of the urethra) from receiving oral sex. More studies need to be done on the subject, but the researchers believe ngu may be tied to the herpes virus that causes cold sores (hsv-1). Herpes can be transmitted from genitals to mouth or mouth to genitals, so both the giver and the receiver are at risk.
To help lower the risk of stds, it is best if both partners get tested. Condoms also help to lower the risk.