Is Texas holdem' five card draw?

No.

Texas Hold'Em is by far the most popular Poker variation to day.

Texas Hold'Em is played by following rules.

You receive 2 "Hole cards".

After the 2 hole cards are dealt there is a round of betting.

Then the flop is being dealt. The flop consists out of 3 cards face up.

Another round of betting happens after the flop.

After the round of betting the "turn" is put on the table. The turn is 1 face up card next to the flop.

Another round of betting happens.

Then the "River" is dealt. This is another face up community card.

A final round of betting happens after the river.

After the round of betting finishes on the river the player who has bet first must show his cards to see who has won the pot.

In 5 card draw you receive 5 hole cards and depending on the variation of 5 card draw there is 1 or 3 or more rounds of betting where players can choose to trade cards from the deck(s) of cards. Each trade of the cards is followed by a round of betting.