Is the bee venom the same venom as rattlesnake venom?

That is subject to a number of conditions.

Rattlesnakes often reserve their venom when biting a large animal in defense. The bite, by itself, sends the message to leave the snake alone and saves venom for use on prey. That led to a number of (stupid) first aid treatments such as giving whiskey to a snakebite victim. If the person had been envenomated the whiskey would probably kill them.

Drop-for-drop, bee venom is said to be more dangerous than rattlesnake venom. It takes about 1000 stings to kill an average-weight person (See link below):

With honey bees the toxic dose (LD50) of the venom is estimated to be 8.6 stings per pound of body weight. Obviously, children are at a greater risk than are adults. In fact, an otherwise healthy adult would have to be stung over 1,000 times to be in risk of death.

One could argue that your statement is valid because a single rattlesnake bite can be fatal.